Konditional
6 October 2022
Contents
#Loading required packages
library(Statial)
library(tidyverse)
library(plotly)
theme_set(theme_classic())1 Installation
# Install the development version from GitHub:
# install.packages("devtools")
devtools::install_github("SydneyBioX/Statial")2 Overview
Konditional is a method to evaluate the localisation relationship between two cell types in an image. Konditional builds on the L-function by contenualising the relationship between two cell types in reference to the typical spatial behaviour of a \(3^{rd}\) cell type/population. By taking this approach, Konditional is invariant to changes in the window of the image as well as tissue structures which may be present.
3 Loading example data
In the following we will analyse some Head and Neck cancer data. These images are stored in a SingleCellExperiment object. The first step in analysing these images is to organise all the cells present into cell populations, e.g. all the B cells are put in a vector called bcells.
# Load head and neck data
#data("headSCE")
load("../data/headSCE.rda")
# Examine all cell types in image
unique(headSCE$cellType)
#> [1] EC1 SC7 MC3 Undefined BC3 SC1 SC2
#> [8] EP SC4 BC2 TC_CD4 SC5 EC2 BC1
#> [15] SC3 MC2 GC SC6 MC1 TC_CD8
#> 20 Levels: BC1 BC2 BC3 EC1 EC2 EP GC MC1 MC2 MC3 SC1 SC2 SC3 SC4 SC5 ... Undefined
# Set up cell populations
tumour = c("SC1", "SC2", "SC3", "SC4", "SC5", "SC6", "SC7")
bcells = c("BC1", "BC2", "BC3")
tcells = c("TC_CD4", "TC_CD8")
myeloid = c("MC1", "MC2", "MC3")
endothelial = c("EC1", "EC2")
epithelial = c("EP")
tissue = c(endothelial, epithelial)
immune = c(bcells, tcells, myeloid, "GC") #GC = granulocytes
all = c(tumour, tissue, immune, "Undefined")
4 Konditional
Konditional accepts a SingleCellExperiment object, or a single image and list of images from a SingleCellExperiment object, this gets passed into the imageData argument. The two cell types which will be evaluated are specified in the to and from arguments. A \(3^{rd}\) references population must also be specified in the parent argument, note the \(3^{rd}\) cell population must include the to cell type. The argument r will specify the radius which the cell relationship will be evaluated on. Konditional supports parallel processing, the number of cores can be specified using the cores argument. Konditional can take a single value or multiple values for each argument and will test all combinations of the arguments specified.
Here we test the relationship between CD4 T cells (TC_CD4) and one type of Tumour cell (SC5) with all immune cells being our reference population. The output is a data frame with the original L-function values and konditional values as well as the values for the arguments specified.
CD4_Konditional = Konditional(
imageData = headSCE,
r = 50,
from = "TC_CD4",
to = "SC5",
parent = immune,
cores = 40
)
CD4_Konditional
#> imageID test original konditional r weightQuantile inhom edge
#> 1 1 TC_CD4 __ SC5 -11.504595 -13.4719284 50 0.8 TRUE FALSE
#> 2 12 TC_CD4 __ SC5 -24.778403 -12.1091628 50 0.8 TRUE FALSE
#> 3 13 TC_CD4 __ SC5 -13.971613 -10.1442932 50 0.8 TRUE FALSE
#> 4 14 TC_CD4 __ SC5 -17.882760 -22.0461047 50 0.8 TRUE FALSE
#> 5 15 TC_CD4 __ SC5 -1.849730 3.8472904 50 0.8 TRUE FALSE
#> 6 16 TC_CD4 __ SC5 -7.733687 4.0133489 50 0.8 TRUE FALSE
#> 7 17 TC_CD4 __ SC5 6.998017 11.3460420 50 0.8 TRUE FALSE
#> 8 18 TC_CD4 __ SC5 4.219412 -1.0138218 50 0.8 TRUE FALSE
#> 9 19 TC_CD4 __ SC5 -10.885027 -3.6913839 50 0.8 TRUE FALSE
#> 10 22 TC_CD4 __ SC5 -19.183807 4.4533957 50 0.8 TRUE FALSE
#> 11 23 TC_CD4 __ SC5 -7.753904 -0.5204235 50 0.8 TRUE FALSE
#> 12 24 TC_CD4 __ SC5 -5.944715 -7.1522676 50 0.8 TRUE FALSE
#> 13 25 TC_CD4 __ SC5 -6.943953 -7.2342587 50 0.8 TRUE FALSE
#> 14 26 TC_CD4 __ SC5 -10.888053 12.0075440 50 0.8 TRUE FALSE
#> 15 27 TC_CD4 __ SC5 -10.747546 -9.9940957 50 0.8 TRUE FALSE
#> 16 28 TC_CD4 __ SC5 -5.315542 3.3678342 50 0.8 TRUE FALSE
#> 17 29 TC_CD4 __ SC5 -5.041334 2.7358931 50 0.8 TRUE FALSE
#> 18 33 TC_CD4 __ SC5 -2.317716 -2.9852981 50 0.8 TRUE FALSE
#> 19 34 TC_CD4 __ SC5 -2.733872 -3.5834188 50 0.8 TRUE FALSE
#> 20 35 TC_CD4 __ SC5 -13.872572 -6.4535617 50 0.8 TRUE FALSE
#> 21 36 TC_CD4 __ SC5 -28.831695 -23.0128512 50 0.8 TRUE FALSE
#> 22 37 TC_CD4 __ SC5 -10.089565 -11.3751679 50 0.8 TRUE FALSE
#> 23 40 TC_CD4 __ SC5 -23.564587 -16.9603244 50 0.8 TRUE FALSE
#> 24 45 TC_CD4 __ SC5 -9.518718 -9.1885524 50 0.8 TRUE FALSE
#> 25 46 TC_CD4 __ SC5 -20.420499 -13.2796812 50 0.8 TRUE FALSE
#> 26 5 TC_CD4 __ SC5 -14.520368 -3.5710293 50 0.8 TRUE FALSE
#> 27 6 TC_CD4 __ SC5 -16.077982 -6.6252859 50 0.8 TRUE FALSE
#> 28 7 TC_CD4 __ SC5 -16.847385 -13.9845062 50 0.8 TRUE FALSE
#> 29 8 TC_CD4 __ SC5 -16.053892 -9.1938523 50 0.8 TRUE FALSE
#> includeZeroCells window window.length
#> 1 TRUE convex NA
#> 2 TRUE convex NA
#> 3 TRUE convex NA
#> 4 TRUE convex NA
#> 5 TRUE convex NA
#> 6 TRUE convex NA
#> 7 TRUE convex NA
#> 8 TRUE convex NA
#> 9 TRUE convex NA
#> 10 TRUE convex NA
#> 11 TRUE convex NA
#> 12 TRUE convex NA
#> 13 TRUE convex NA
#> 14 TRUE convex NA
#> 15 TRUE convex NA
#> 16 TRUE convex NA
#> 17 TRUE convex NA
#> 18 TRUE convex NA
#> 19 TRUE convex NA
#> 20 TRUE convex NA
#> 21 TRUE convex NA
#> 22 TRUE convex NA
#> 23 TRUE convex NA
#> 24 TRUE convex NA
#> 25 TRUE convex NA
#> 26 TRUE convex NA
#> 27 TRUE convex NA
#> 28 TRUE convex NA
#> 29 TRUE convex NAThe original and konditional values can be compared in a scatter plot to identify relationships which have been identified differently between the functions The top left quadrant represents values where Konditional has identified localisation between CD8 and SC5 and the original L-function has identified dispersion, the opposite is true for the bottom right quadrant.
plot = ggplot(CD4_Konditional, aes(x = original, y = konditional, col = imageID)) +
geom_point() +
geom_hline(yintercept = 0, col = "red", linetype = "dashed") +
geom_vline(xintercept = 0, col = "red", linetype = "dashed")
ggplotly(plot)
#> Warning: `gather_()` was deprecated in tidyr 1.2.0.
#> Please use `gather()` instead.Alternatively all pairwise cell relationships and their corresponding parent in the dataset can be tested. A data frame with all pairwise combinations can be creating using the parentCombinations function. This function takes in a vector of all the cells, as well as all the parent vectors set up earlier. As shown below the output is a data frame specifying the to, from, and parent arguments for Kondtional.
# Get all relationships between cell types and their parents
parentDf = parentCombinations(all = all, tumour, bcells, tcells, myeloid, endothelial, epithelial, tissue, immune)
parentDf
#> from to parent parent_name
#> 1 BC1 SC1 BC1, BC2.... bcells
#> 2 BC1 SC2 BC1, BC2.... bcells
#> 3 BC1 SC3 BC1, BC2.... bcells
#> 4 BC1 SC4 BC1, BC2.... bcells
#> 5 BC1 SC5 BC1, BC2.... bcells
#> 6 BC1 SC6 BC1, BC2.... bcells
#> 7 BC1 SC7 BC1, BC2.... bcells
#> 8 BC1 EC1 BC1, BC2.... bcells
#> 9 BC1 EC2 BC1, BC2.... bcells
#> 10 BC1 EP BC1, BC2.... bcells
#> 11 BC1 BC2 BC1, BC2.... bcells
#> 12 BC1 BC3 BC1, BC2.... bcells
#> 13 BC1 TC_CD4 BC1, BC2.... bcells
#> 14 BC1 TC_CD8 BC1, BC2.... bcells
#> 15 BC1 MC1 BC1, BC2.... bcells
#> 16 BC1 MC2 BC1, BC2.... bcells
#> 17 BC1 MC3 BC1, BC2.... bcells
#> 18 BC1 GC BC1, BC2.... bcells
#> 19 BC1 Undefined BC1, BC2.... bcells
#> 20 BC2 SC1 BC1, BC2.... bcells
#> 21 BC2 SC2 BC1, BC2.... bcells
#> 22 BC2 SC3 BC1, BC2.... bcells
#> 23 BC2 SC4 BC1, BC2.... bcells
#> 24 BC2 SC5 BC1, BC2.... bcells
#> 25 BC2 SC6 BC1, BC2.... bcells
#> 26 BC2 SC7 BC1, BC2.... bcells
#> 27 BC2 EC1 BC1, BC2.... bcells
#> 28 BC2 EC2 BC1, BC2.... bcells
#> 29 BC2 EP BC1, BC2.... bcells
#> 30 BC2 BC1 BC1, BC2.... bcells
#> 31 BC2 BC3 BC1, BC2.... bcells
#> 32 BC2 TC_CD4 BC1, BC2.... bcells
#> 33 BC2 TC_CD8 BC1, BC2.... bcells
#> 34 BC2 MC1 BC1, BC2.... bcells
#> 35 BC2 MC2 BC1, BC2.... bcells
#> 36 BC2 MC3 BC1, BC2.... bcells
#> 37 BC2 GC BC1, BC2.... bcells
#> 38 BC2 Undefined BC1, BC2.... bcells
#> 39 BC3 SC1 BC1, BC2.... bcells
#> 40 BC3 SC2 BC1, BC2.... bcells
#> 41 BC3 SC3 BC1, BC2.... bcells
#> 42 BC3 SC4 BC1, BC2.... bcells
#> 43 BC3 SC5 BC1, BC2.... bcells
#> 44 BC3 SC6 BC1, BC2.... bcells
#> 45 BC3 SC7 BC1, BC2.... bcells
#> 46 BC3 EC1 BC1, BC2.... bcells
#> 47 BC3 EC2 BC1, BC2.... bcells
#> 48 BC3 EP BC1, BC2.... bcells
#> 49 BC3 BC1 BC1, BC2.... bcells
#> 50 BC3 BC2 BC1, BC2.... bcells
#> 51 BC3 TC_CD4 BC1, BC2.... bcells
#> 52 BC3 TC_CD8 BC1, BC2.... bcells
#> 53 BC3 MC1 BC1, BC2.... bcells
#> 54 BC3 MC2 BC1, BC2.... bcells
#> 55 BC3 MC3 BC1, BC2.... bcells
#> 56 BC3 GC BC1, BC2.... bcells
#> 57 BC3 Undefined BC1, BC2.... bcells
#> 58 EC1 SC1 EC1, EC2 endothelial
#> 59 EC1 SC2 EC1, EC2 endothelial
#> 60 EC1 SC3 EC1, EC2 endothelial
#> 61 EC1 SC4 EC1, EC2 endothelial
#> 62 EC1 SC5 EC1, EC2 endothelial
#> 63 EC1 SC6 EC1, EC2 endothelial
#> 64 EC1 SC7 EC1, EC2 endothelial
#> 65 EC1 EC2 EC1, EC2 endothelial
#> 66 EC1 EP EC1, EC2 endothelial
#> 67 EC1 BC1 EC1, EC2 endothelial
#> 68 EC1 BC2 EC1, EC2 endothelial
#> 69 EC1 BC3 EC1, EC2 endothelial
#> 70 EC1 TC_CD4 EC1, EC2 endothelial
#> 71 EC1 TC_CD8 EC1, EC2 endothelial
#> 72 EC1 MC1 EC1, EC2 endothelial
#> 73 EC1 MC2 EC1, EC2 endothelial
#> 74 EC1 MC3 EC1, EC2 endothelial
#> 75 EC1 GC EC1, EC2 endothelial
#> 76 EC1 Undefined EC1, EC2 endothelial
#> 77 EC2 SC1 EC1, EC2 endothelial
#> 78 EC2 SC2 EC1, EC2 endothelial
#> 79 EC2 SC3 EC1, EC2 endothelial
#> 80 EC2 SC4 EC1, EC2 endothelial
#> 81 EC2 SC5 EC1, EC2 endothelial
#> 82 EC2 SC6 EC1, EC2 endothelial
#> 83 EC2 SC7 EC1, EC2 endothelial
#> 84 EC2 EC1 EC1, EC2 endothelial
#> 85 EC2 EP EC1, EC2 endothelial
#> 86 EC2 BC1 EC1, EC2 endothelial
#> 87 EC2 BC2 EC1, EC2 endothelial
#> 88 EC2 BC3 EC1, EC2 endothelial
#> 89 EC2 TC_CD4 EC1, EC2 endothelial
#> 90 EC2 TC_CD8 EC1, EC2 endothelial
#> 91 EC2 MC1 EC1, EC2 endothelial
#> 92 EC2 MC2 EC1, EC2 endothelial
#> 93 EC2 MC3 EC1, EC2 endothelial
#> 94 EC2 GC EC1, EC2 endothelial
#> 95 EC2 Undefined EC1, EC2 endothelial
#> 96 EP SC1 EP epithelial
#> 97 EP SC2 EP epithelial
#> 98 EP SC3 EP epithelial
#> 99 EP SC4 EP epithelial
#> 100 EP SC5 EP epithelial
#> 101 EP SC6 EP epithelial
#> 102 EP SC7 EP epithelial
#> 103 EP EC1 EP epithelial
#> 104 EP EC2 EP epithelial
#> 105 EP BC1 EP epithelial
#> 106 EP BC2 EP epithelial
#> 107 EP BC3 EP epithelial
#> 108 EP TC_CD4 EP epithelial
#> 109 EP TC_CD8 EP epithelial
#> 110 EP MC1 EP epithelial
#> 111 EP MC2 EP epithelial
#> 112 EP MC3 EP epithelial
#> 113 EP GC EP epithelial
#> 114 EP Undefined EP epithelial
#> 115 BC1 SC1 BC1, BC2.... immune
#> 116 BC1 SC2 BC1, BC2.... immune
#> 117 BC1 SC3 BC1, BC2.... immune
#> 118 BC1 SC4 BC1, BC2.... immune
#> 119 BC1 SC5 BC1, BC2.... immune
#> 120 BC1 SC6 BC1, BC2.... immune
#> 121 BC1 SC7 BC1, BC2.... immune
#> 122 BC1 EC1 BC1, BC2.... immune
#> 123 BC1 EC2 BC1, BC2.... immune
#> 124 BC1 EP BC1, BC2.... immune
#> 125 BC1 BC2 BC1, BC2.... immune
#> 126 BC1 BC3 BC1, BC2.... immune
#> 127 BC1 TC_CD4 BC1, BC2.... immune
#> 128 BC1 TC_CD8 BC1, BC2.... immune
#> 129 BC1 MC1 BC1, BC2.... immune
#> 130 BC1 MC2 BC1, BC2.... immune
#> 131 BC1 MC3 BC1, BC2.... immune
#> 132 BC1 GC BC1, BC2.... immune
#> 133 BC1 Undefined BC1, BC2.... immune
#> 134 BC2 SC1 BC1, BC2.... immune
#> 135 BC2 SC2 BC1, BC2.... immune
#> 136 BC2 SC3 BC1, BC2.... immune
#> 137 BC2 SC4 BC1, BC2.... immune
#> 138 BC2 SC5 BC1, BC2.... immune
#> 139 BC2 SC6 BC1, BC2.... immune
#> 140 BC2 SC7 BC1, BC2.... immune
#> 141 BC2 EC1 BC1, BC2.... immune
#> 142 BC2 EC2 BC1, BC2.... immune
#> 143 BC2 EP BC1, BC2.... immune
#> 144 BC2 BC1 BC1, BC2.... immune
#> 145 BC2 BC3 BC1, BC2.... immune
#> 146 BC2 TC_CD4 BC1, BC2.... immune
#> 147 BC2 TC_CD8 BC1, BC2.... immune
#> 148 BC2 MC1 BC1, BC2.... immune
#> 149 BC2 MC2 BC1, BC2.... immune
#> 150 BC2 MC3 BC1, BC2.... immune
#> 151 BC2 GC BC1, BC2.... immune
#> 152 BC2 Undefined BC1, BC2.... immune
#> 153 BC3 SC1 BC1, BC2.... immune
#> 154 BC3 SC2 BC1, BC2.... immune
#> 155 BC3 SC3 BC1, BC2.... immune
#> 156 BC3 SC4 BC1, BC2.... immune
#> 157 BC3 SC5 BC1, BC2.... immune
#> 158 BC3 SC6 BC1, BC2.... immune
#> 159 BC3 SC7 BC1, BC2.... immune
#> 160 BC3 EC1 BC1, BC2.... immune
#> 161 BC3 EC2 BC1, BC2.... immune
#> 162 BC3 EP BC1, BC2.... immune
#> 163 BC3 BC1 BC1, BC2.... immune
#> 164 BC3 BC2 BC1, BC2.... immune
#> 165 BC3 TC_CD4 BC1, BC2.... immune
#> 166 BC3 TC_CD8 BC1, BC2.... immune
#> 167 BC3 MC1 BC1, BC2.... immune
#> 168 BC3 MC2 BC1, BC2.... immune
#> 169 BC3 MC3 BC1, BC2.... immune
#> 170 BC3 GC BC1, BC2.... immune
#> 171 BC3 Undefined BC1, BC2.... immune
#> 172 GC SC1 BC1, BC2.... immune
#> 173 GC SC2 BC1, BC2.... immune
#> 174 GC SC3 BC1, BC2.... immune
#> 175 GC SC4 BC1, BC2.... immune
#> 176 GC SC5 BC1, BC2.... immune
#> 177 GC SC6 BC1, BC2.... immune
#> 178 GC SC7 BC1, BC2.... immune
#> 179 GC EC1 BC1, BC2.... immune
#> 180 GC EC2 BC1, BC2.... immune
#> 181 GC EP BC1, BC2.... immune
#> 182 GC BC1 BC1, BC2.... immune
#> 183 GC BC2 BC1, BC2.... immune
#> 184 GC BC3 BC1, BC2.... immune
#> 185 GC TC_CD4 BC1, BC2.... immune
#> 186 GC TC_CD8 BC1, BC2.... immune
#> 187 GC MC1 BC1, BC2.... immune
#> 188 GC MC2 BC1, BC2.... immune
#> 189 GC MC3 BC1, BC2.... immune
#> 190 GC Undefined BC1, BC2.... immune
#> 191 MC1 SC1 BC1, BC2.... immune
#> 192 MC1 SC2 BC1, BC2.... immune
#> 193 MC1 SC3 BC1, BC2.... immune
#> 194 MC1 SC4 BC1, BC2.... immune
#> 195 MC1 SC5 BC1, BC2.... immune
#> 196 MC1 SC6 BC1, BC2.... immune
#> 197 MC1 SC7 BC1, BC2.... immune
#> 198 MC1 EC1 BC1, BC2.... immune
#> 199 MC1 EC2 BC1, BC2.... immune
#> 200 MC1 EP BC1, BC2.... immune
#> 201 MC1 BC1 BC1, BC2.... immune
#> 202 MC1 BC2 BC1, BC2.... immune
#> 203 MC1 BC3 BC1, BC2.... immune
#> 204 MC1 TC_CD4 BC1, BC2.... immune
#> 205 MC1 TC_CD8 BC1, BC2.... immune
#> 206 MC1 MC2 BC1, BC2.... immune
#> 207 MC1 MC3 BC1, BC2.... immune
#> 208 MC1 GC BC1, BC2.... immune
#> 209 MC1 Undefined BC1, BC2.... immune
#> 210 MC2 SC1 BC1, BC2.... immune
#> 211 MC2 SC2 BC1, BC2.... immune
#> 212 MC2 SC3 BC1, BC2.... immune
#> 213 MC2 SC4 BC1, BC2.... immune
#> 214 MC2 SC5 BC1, BC2.... immune
#> 215 MC2 SC6 BC1, BC2.... immune
#> 216 MC2 SC7 BC1, BC2.... immune
#> 217 MC2 EC1 BC1, BC2.... immune
#> 218 MC2 EC2 BC1, BC2.... immune
#> 219 MC2 EP BC1, BC2.... immune
#> 220 MC2 BC1 BC1, BC2.... immune
#> 221 MC2 BC2 BC1, BC2.... immune
#> 222 MC2 BC3 BC1, BC2.... immune
#> 223 MC2 TC_CD4 BC1, BC2.... immune
#> 224 MC2 TC_CD8 BC1, BC2.... immune
#> 225 MC2 MC1 BC1, BC2.... immune
#> 226 MC2 MC3 BC1, BC2.... immune
#> 227 MC2 GC BC1, BC2.... immune
#> 228 MC2 Undefined BC1, BC2.... immune
#> 229 MC3 SC1 BC1, BC2.... immune
#> 230 MC3 SC2 BC1, BC2.... immune
#> 231 MC3 SC3 BC1, BC2.... immune
#> 232 MC3 SC4 BC1, BC2.... immune
#> 233 MC3 SC5 BC1, BC2.... immune
#> 234 MC3 SC6 BC1, BC2.... immune
#> 235 MC3 SC7 BC1, BC2.... immune
#> 236 MC3 EC1 BC1, BC2.... immune
#> 237 MC3 EC2 BC1, BC2.... immune
#> 238 MC3 EP BC1, BC2.... immune
#> 239 MC3 BC1 BC1, BC2.... immune
#> 240 MC3 BC2 BC1, BC2.... immune
#> 241 MC3 BC3 BC1, BC2.... immune
#> 242 MC3 TC_CD4 BC1, BC2.... immune
#> 243 MC3 TC_CD8 BC1, BC2.... immune
#> 244 MC3 MC1 BC1, BC2.... immune
#> 245 MC3 MC2 BC1, BC2.... immune
#> 246 MC3 GC BC1, BC2.... immune
#> 247 MC3 Undefined BC1, BC2.... immune
#> 248 TC_CD4 SC1 BC1, BC2.... immune
#> 249 TC_CD4 SC2 BC1, BC2.... immune
#> 250 TC_CD4 SC3 BC1, BC2.... immune
#> 251 TC_CD4 SC4 BC1, BC2.... immune
#> 252 TC_CD4 SC5 BC1, BC2.... immune
#> 253 TC_CD4 SC6 BC1, BC2.... immune
#> 254 TC_CD4 SC7 BC1, BC2.... immune
#> 255 TC_CD4 EC1 BC1, BC2.... immune
#> 256 TC_CD4 EC2 BC1, BC2.... immune
#> 257 TC_CD4 EP BC1, BC2.... immune
#> 258 TC_CD4 BC1 BC1, BC2.... immune
#> 259 TC_CD4 BC2 BC1, BC2.... immune
#> 260 TC_CD4 BC3 BC1, BC2.... immune
#> 261 TC_CD4 TC_CD8 BC1, BC2.... immune
#> 262 TC_CD4 MC1 BC1, BC2.... immune
#> 263 TC_CD4 MC2 BC1, BC2.... immune
#> 264 TC_CD4 MC3 BC1, BC2.... immune
#> 265 TC_CD4 GC BC1, BC2.... immune
#> 266 TC_CD4 Undefined BC1, BC2.... immune
#> 267 TC_CD8 SC1 BC1, BC2.... immune
#> 268 TC_CD8 SC2 BC1, BC2.... immune
#> 269 TC_CD8 SC3 BC1, BC2.... immune
#> 270 TC_CD8 SC4 BC1, BC2.... immune
#> 271 TC_CD8 SC5 BC1, BC2.... immune
#> 272 TC_CD8 SC6 BC1, BC2.... immune
#> 273 TC_CD8 SC7 BC1, BC2.... immune
#> 274 TC_CD8 EC1 BC1, BC2.... immune
#> 275 TC_CD8 EC2 BC1, BC2.... immune
#> 276 TC_CD8 EP BC1, BC2.... immune
#> 277 TC_CD8 BC1 BC1, BC2.... immune
#> 278 TC_CD8 BC2 BC1, BC2.... immune
#> 279 TC_CD8 BC3 BC1, BC2.... immune
#> 280 TC_CD8 TC_CD4 BC1, BC2.... immune
#> 281 TC_CD8 MC1 BC1, BC2.... immune
#> 282 TC_CD8 MC2 BC1, BC2.... immune
#> 283 TC_CD8 MC3 BC1, BC2.... immune
#> 284 TC_CD8 GC BC1, BC2.... immune
#> 285 TC_CD8 Undefined BC1, BC2.... immune
#> 286 MC1 SC1 MC1, MC2.... myeloid
#> 287 MC1 SC2 MC1, MC2.... myeloid
#> 288 MC1 SC3 MC1, MC2.... myeloid
#> 289 MC1 SC4 MC1, MC2.... myeloid
#> 290 MC1 SC5 MC1, MC2.... myeloid
#> 291 MC1 SC6 MC1, MC2.... myeloid
#> 292 MC1 SC7 MC1, MC2.... myeloid
#> 293 MC1 EC1 MC1, MC2.... myeloid
#> 294 MC1 EC2 MC1, MC2.... myeloid
#> 295 MC1 EP MC1, MC2.... myeloid
#> 296 MC1 BC1 MC1, MC2.... myeloid
#> 297 MC1 BC2 MC1, MC2.... myeloid
#> 298 MC1 BC3 MC1, MC2.... myeloid
#> 299 MC1 TC_CD4 MC1, MC2.... myeloid
#> 300 MC1 TC_CD8 MC1, MC2.... myeloid
#> 301 MC1 MC2 MC1, MC2.... myeloid
#> 302 MC1 MC3 MC1, MC2.... myeloid
#> 303 MC1 GC MC1, MC2.... myeloid
#> 304 MC1 Undefined MC1, MC2.... myeloid
#> 305 MC2 SC1 MC1, MC2.... myeloid
#> 306 MC2 SC2 MC1, MC2.... myeloid
#> 307 MC2 SC3 MC1, MC2.... myeloid
#> 308 MC2 SC4 MC1, MC2.... myeloid
#> 309 MC2 SC5 MC1, MC2.... myeloid
#> 310 MC2 SC6 MC1, MC2.... myeloid
#> 311 MC2 SC7 MC1, MC2.... myeloid
#> 312 MC2 EC1 MC1, MC2.... myeloid
#> 313 MC2 EC2 MC1, MC2.... myeloid
#> 314 MC2 EP MC1, MC2.... myeloid
#> 315 MC2 BC1 MC1, MC2.... myeloid
#> 316 MC2 BC2 MC1, MC2.... myeloid
#> 317 MC2 BC3 MC1, MC2.... myeloid
#> 318 MC2 TC_CD4 MC1, MC2.... myeloid
#> 319 MC2 TC_CD8 MC1, MC2.... myeloid
#> 320 MC2 MC1 MC1, MC2.... myeloid
#> 321 MC2 MC3 MC1, MC2.... myeloid
#> 322 MC2 GC MC1, MC2.... myeloid
#> 323 MC2 Undefined MC1, MC2.... myeloid
#> 324 MC3 SC1 MC1, MC2.... myeloid
#> 325 MC3 SC2 MC1, MC2.... myeloid
#> 326 MC3 SC3 MC1, MC2.... myeloid
#> 327 MC3 SC4 MC1, MC2.... myeloid
#> 328 MC3 SC5 MC1, MC2.... myeloid
#> 329 MC3 SC6 MC1, MC2.... myeloid
#> 330 MC3 SC7 MC1, MC2.... myeloid
#> 331 MC3 EC1 MC1, MC2.... myeloid
#> 332 MC3 EC2 MC1, MC2.... myeloid
#> 333 MC3 EP MC1, MC2.... myeloid
#> 334 MC3 BC1 MC1, MC2.... myeloid
#> 335 MC3 BC2 MC1, MC2.... myeloid
#> 336 MC3 BC3 MC1, MC2.... myeloid
#> 337 MC3 TC_CD4 MC1, MC2.... myeloid
#> 338 MC3 TC_CD8 MC1, MC2.... myeloid
#> 339 MC3 MC1 MC1, MC2.... myeloid
#> 340 MC3 MC2 MC1, MC2.... myeloid
#> 341 MC3 GC MC1, MC2.... myeloid
#> 342 MC3 Undefined MC1, MC2.... myeloid
#> 343 TC_CD4 SC1 TC_CD4, .... tcells
#> 344 TC_CD4 SC2 TC_CD4, .... tcells
#> 345 TC_CD4 SC3 TC_CD4, .... tcells
#> 346 TC_CD4 SC4 TC_CD4, .... tcells
#> 347 TC_CD4 SC5 TC_CD4, .... tcells
#> 348 TC_CD4 SC6 TC_CD4, .... tcells
#> 349 TC_CD4 SC7 TC_CD4, .... tcells
#> 350 TC_CD4 EC1 TC_CD4, .... tcells
#> 351 TC_CD4 EC2 TC_CD4, .... tcells
#> 352 TC_CD4 EP TC_CD4, .... tcells
#> 353 TC_CD4 BC1 TC_CD4, .... tcells
#> 354 TC_CD4 BC2 TC_CD4, .... tcells
#> 355 TC_CD4 BC3 TC_CD4, .... tcells
#> 356 TC_CD4 TC_CD8 TC_CD4, .... tcells
#> 357 TC_CD4 MC1 TC_CD4, .... tcells
#> 358 TC_CD4 MC2 TC_CD4, .... tcells
#> 359 TC_CD4 MC3 TC_CD4, .... tcells
#> 360 TC_CD4 GC TC_CD4, .... tcells
#> 361 TC_CD4 Undefined TC_CD4, .... tcells
#> 362 TC_CD8 SC1 TC_CD4, .... tcells
#> 363 TC_CD8 SC2 TC_CD4, .... tcells
#> 364 TC_CD8 SC3 TC_CD4, .... tcells
#> 365 TC_CD8 SC4 TC_CD4, .... tcells
#> 366 TC_CD8 SC5 TC_CD4, .... tcells
#> 367 TC_CD8 SC6 TC_CD4, .... tcells
#> 368 TC_CD8 SC7 TC_CD4, .... tcells
#> 369 TC_CD8 EC1 TC_CD4, .... tcells
#> 370 TC_CD8 EC2 TC_CD4, .... tcells
#> 371 TC_CD8 EP TC_CD4, .... tcells
#> 372 TC_CD8 BC1 TC_CD4, .... tcells
#> 373 TC_CD8 BC2 TC_CD4, .... tcells
#> 374 TC_CD8 BC3 TC_CD4, .... tcells
#> 375 TC_CD8 TC_CD4 TC_CD4, .... tcells
#> 376 TC_CD8 MC1 TC_CD4, .... tcells
#> 377 TC_CD8 MC2 TC_CD4, .... tcells
#> 378 TC_CD8 MC3 TC_CD4, .... tcells
#> 379 TC_CD8 GC TC_CD4, .... tcells
#> 380 TC_CD8 Undefined TC_CD4, .... tcells
#> 381 EC1 SC1 EC1, EC2, EP tissue
#> 382 EC1 SC2 EC1, EC2, EP tissue
#> 383 EC1 SC3 EC1, EC2, EP tissue
#> 384 EC1 SC4 EC1, EC2, EP tissue
#> 385 EC1 SC5 EC1, EC2, EP tissue
#> 386 EC1 SC6 EC1, EC2, EP tissue
#> 387 EC1 SC7 EC1, EC2, EP tissue
#> 388 EC1 EC2 EC1, EC2, EP tissue
#> 389 EC1 EP EC1, EC2, EP tissue
#> 390 EC1 BC1 EC1, EC2, EP tissue
#> 391 EC1 BC2 EC1, EC2, EP tissue
#> 392 EC1 BC3 EC1, EC2, EP tissue
#> 393 EC1 TC_CD4 EC1, EC2, EP tissue
#> 394 EC1 TC_CD8 EC1, EC2, EP tissue
#> 395 EC1 MC1 EC1, EC2, EP tissue
#> 396 EC1 MC2 EC1, EC2, EP tissue
#> 397 EC1 MC3 EC1, EC2, EP tissue
#> 398 EC1 GC EC1, EC2, EP tissue
#> 399 EC1 Undefined EC1, EC2, EP tissue
#> 400 EC2 SC1 EC1, EC2, EP tissue
#> 401 EC2 SC2 EC1, EC2, EP tissue
#> 402 EC2 SC3 EC1, EC2, EP tissue
#> 403 EC2 SC4 EC1, EC2, EP tissue
#> 404 EC2 SC5 EC1, EC2, EP tissue
#> 405 EC2 SC6 EC1, EC2, EP tissue
#> 406 EC2 SC7 EC1, EC2, EP tissue
#> 407 EC2 EC1 EC1, EC2, EP tissue
#> 408 EC2 EP EC1, EC2, EP tissue
#> 409 EC2 BC1 EC1, EC2, EP tissue
#> 410 EC2 BC2 EC1, EC2, EP tissue
#> 411 EC2 BC3 EC1, EC2, EP tissue
#> 412 EC2 TC_CD4 EC1, EC2, EP tissue
#> 413 EC2 TC_CD8 EC1, EC2, EP tissue
#> 414 EC2 MC1 EC1, EC2, EP tissue
#> 415 EC2 MC2 EC1, EC2, EP tissue
#> 416 EC2 MC3 EC1, EC2, EP tissue
#> 417 EC2 GC EC1, EC2, EP tissue
#> 418 EC2 Undefined EC1, EC2, EP tissue
#> 419 EP SC1 EC1, EC2, EP tissue
#> 420 EP SC2 EC1, EC2, EP tissue
#> 421 EP SC3 EC1, EC2, EP tissue
#> 422 EP SC4 EC1, EC2, EP tissue
#> 423 EP SC5 EC1, EC2, EP tissue
#> 424 EP SC6 EC1, EC2, EP tissue
#> 425 EP SC7 EC1, EC2, EP tissue
#> 426 EP EC1 EC1, EC2, EP tissue
#> 427 EP EC2 EC1, EC2, EP tissue
#> 428 EP BC1 EC1, EC2, EP tissue
#> 429 EP BC2 EC1, EC2, EP tissue
#> 430 EP BC3 EC1, EC2, EP tissue
#> 431 EP TC_CD4 EC1, EC2, EP tissue
#> 432 EP TC_CD8 EC1, EC2, EP tissue
#> 433 EP MC1 EC1, EC2, EP tissue
#> 434 EP MC2 EC1, EC2, EP tissue
#> 435 EP MC3 EC1, EC2, EP tissue
#> 436 EP GC EC1, EC2, EP tissue
#> 437 EP Undefined EC1, EC2, EP tissue
#> 438 SC1 SC2 SC1, SC2.... tumour
#> 439 SC1 SC3 SC1, SC2.... tumour
#> 440 SC1 SC4 SC1, SC2.... tumour
#> 441 SC1 SC5 SC1, SC2.... tumour
#> 442 SC1 SC6 SC1, SC2.... tumour
#> 443 SC1 SC7 SC1, SC2.... tumour
#> 444 SC1 EC1 SC1, SC2.... tumour
#> 445 SC1 EC2 SC1, SC2.... tumour
#> 446 SC1 EP SC1, SC2.... tumour
#> 447 SC1 BC1 SC1, SC2.... tumour
#> 448 SC1 BC2 SC1, SC2.... tumour
#> 449 SC1 BC3 SC1, SC2.... tumour
#> 450 SC1 TC_CD4 SC1, SC2.... tumour
#> 451 SC1 TC_CD8 SC1, SC2.... tumour
#> 452 SC1 MC1 SC1, SC2.... tumour
#> 453 SC1 MC2 SC1, SC2.... tumour
#> 454 SC1 MC3 SC1, SC2.... tumour
#> 455 SC1 GC SC1, SC2.... tumour
#> 456 SC1 Undefined SC1, SC2.... tumour
#> 457 SC2 SC1 SC1, SC2.... tumour
#> 458 SC2 SC3 SC1, SC2.... tumour
#> 459 SC2 SC4 SC1, SC2.... tumour
#> 460 SC2 SC5 SC1, SC2.... tumour
#> 461 SC2 SC6 SC1, SC2.... tumour
#> 462 SC2 SC7 SC1, SC2.... tumour
#> 463 SC2 EC1 SC1, SC2.... tumour
#> 464 SC2 EC2 SC1, SC2.... tumour
#> 465 SC2 EP SC1, SC2.... tumour
#> 466 SC2 BC1 SC1, SC2.... tumour
#> 467 SC2 BC2 SC1, SC2.... tumour
#> 468 SC2 BC3 SC1, SC2.... tumour
#> 469 SC2 TC_CD4 SC1, SC2.... tumour
#> 470 SC2 TC_CD8 SC1, SC2.... tumour
#> 471 SC2 MC1 SC1, SC2.... tumour
#> 472 SC2 MC2 SC1, SC2.... tumour
#> 473 SC2 MC3 SC1, SC2.... tumour
#> 474 SC2 GC SC1, SC2.... tumour
#> 475 SC2 Undefined SC1, SC2.... tumour
#> 476 SC3 SC1 SC1, SC2.... tumour
#> 477 SC3 SC2 SC1, SC2.... tumour
#> 478 SC3 SC4 SC1, SC2.... tumour
#> 479 SC3 SC5 SC1, SC2.... tumour
#> 480 SC3 SC6 SC1, SC2.... tumour
#> 481 SC3 SC7 SC1, SC2.... tumour
#> 482 SC3 EC1 SC1, SC2.... tumour
#> 483 SC3 EC2 SC1, SC2.... tumour
#> 484 SC3 EP SC1, SC2.... tumour
#> 485 SC3 BC1 SC1, SC2.... tumour
#> 486 SC3 BC2 SC1, SC2.... tumour
#> 487 SC3 BC3 SC1, SC2.... tumour
#> 488 SC3 TC_CD4 SC1, SC2.... tumour
#> 489 SC3 TC_CD8 SC1, SC2.... tumour
#> 490 SC3 MC1 SC1, SC2.... tumour
#> 491 SC3 MC2 SC1, SC2.... tumour
#> 492 SC3 MC3 SC1, SC2.... tumour
#> 493 SC3 GC SC1, SC2.... tumour
#> 494 SC3 Undefined SC1, SC2.... tumour
#> 495 SC4 SC1 SC1, SC2.... tumour
#> 496 SC4 SC2 SC1, SC2.... tumour
#> 497 SC4 SC3 SC1, SC2.... tumour
#> 498 SC4 SC5 SC1, SC2.... tumour
#> 499 SC4 SC6 SC1, SC2.... tumour
#> 500 SC4 SC7 SC1, SC2.... tumour
#> 501 SC4 EC1 SC1, SC2.... tumour
#> 502 SC4 EC2 SC1, SC2.... tumour
#> 503 SC4 EP SC1, SC2.... tumour
#> 504 SC4 BC1 SC1, SC2.... tumour
#> 505 SC4 BC2 SC1, SC2.... tumour
#> 506 SC4 BC3 SC1, SC2.... tumour
#> 507 SC4 TC_CD4 SC1, SC2.... tumour
#> 508 SC4 TC_CD8 SC1, SC2.... tumour
#> 509 SC4 MC1 SC1, SC2.... tumour
#> 510 SC4 MC2 SC1, SC2.... tumour
#> 511 SC4 MC3 SC1, SC2.... tumour
#> 512 SC4 GC SC1, SC2.... tumour
#> 513 SC4 Undefined SC1, SC2.... tumour
#> 514 SC5 SC1 SC1, SC2.... tumour
#> 515 SC5 SC2 SC1, SC2.... tumour
#> 516 SC5 SC3 SC1, SC2.... tumour
#> 517 SC5 SC4 SC1, SC2.... tumour
#> 518 SC5 SC6 SC1, SC2.... tumour
#> 519 SC5 SC7 SC1, SC2.... tumour
#> 520 SC5 EC1 SC1, SC2.... tumour
#> 521 SC5 EC2 SC1, SC2.... tumour
#> 522 SC5 EP SC1, SC2.... tumour
#> 523 SC5 BC1 SC1, SC2.... tumour
#> 524 SC5 BC2 SC1, SC2.... tumour
#> 525 SC5 BC3 SC1, SC2.... tumour
#> 526 SC5 TC_CD4 SC1, SC2.... tumour
#> 527 SC5 TC_CD8 SC1, SC2.... tumour
#> 528 SC5 MC1 SC1, SC2.... tumour
#> 529 SC5 MC2 SC1, SC2.... tumour
#> 530 SC5 MC3 SC1, SC2.... tumour
#> 531 SC5 GC SC1, SC2.... tumour
#> 532 SC5 Undefined SC1, SC2.... tumour
#> 533 SC6 SC1 SC1, SC2.... tumour
#> 534 SC6 SC2 SC1, SC2.... tumour
#> 535 SC6 SC3 SC1, SC2.... tumour
#> 536 SC6 SC4 SC1, SC2.... tumour
#> 537 SC6 SC5 SC1, SC2.... tumour
#> 538 SC6 SC7 SC1, SC2.... tumour
#> 539 SC6 EC1 SC1, SC2.... tumour
#> 540 SC6 EC2 SC1, SC2.... tumour
#> 541 SC6 EP SC1, SC2.... tumour
#> 542 SC6 BC1 SC1, SC2.... tumour
#> 543 SC6 BC2 SC1, SC2.... tumour
#> 544 SC6 BC3 SC1, SC2.... tumour
#> 545 SC6 TC_CD4 SC1, SC2.... tumour
#> 546 SC6 TC_CD8 SC1, SC2.... tumour
#> 547 SC6 MC1 SC1, SC2.... tumour
#> 548 SC6 MC2 SC1, SC2.... tumour
#> 549 SC6 MC3 SC1, SC2.... tumour
#> 550 SC6 GC SC1, SC2.... tumour
#> 551 SC6 Undefined SC1, SC2.... tumour
#> 552 SC7 SC1 SC1, SC2.... tumour
#> 553 SC7 SC2 SC1, SC2.... tumour
#> 554 SC7 SC3 SC1, SC2.... tumour
#> 555 SC7 SC4 SC1, SC2.... tumour
#> 556 SC7 SC5 SC1, SC2.... tumour
#> 557 SC7 SC6 SC1, SC2.... tumour
#> 558 SC7 EC1 SC1, SC2.... tumour
#> 559 SC7 EC2 SC1, SC2.... tumour
#> 560 SC7 EP SC1, SC2.... tumour
#> 561 SC7 BC1 SC1, SC2.... tumour
#> 562 SC7 BC2 SC1, SC2.... tumour
#> 563 SC7 BC3 SC1, SC2.... tumour
#> 564 SC7 TC_CD4 SC1, SC2.... tumour
#> 565 SC7 TC_CD8 SC1, SC2.... tumour
#> 566 SC7 MC1 SC1, SC2.... tumour
#> 567 SC7 MC2 SC1, SC2.... tumour
#> 568 SC7 MC3 SC1, SC2.... tumour
#> 569 SC7 GC SC1, SC2.... tumour
#> 570 SC7 Undefined SC1, SC2.... tumourRather than specifying to, from, and parent in Konditional, the output from parentCombinations can be inputed into Konditional. Here we will test all pairwise cell relationships on the first image of the dataset.
# Selecting Image 1 as an example
image_1 = headSCE %>% colData %>% data.frame() %>% filter(imageID == "1")
image1_Konditional = Konditional(image_1,
parentDf = parentDf,
r = 50,
cores = 40)
image1_Konditional
#> imageID test original konditional r
#> 1 1 BC1 __ SC1 __ bcells 0.76301875 4.63044955 50
#> 2 1 BC1 __ SC2 __ bcells -7.47059261 -8.57124590 50
#> 3 1 BC1 __ SC3 __ bcells -9.37793451 -10.46948640 50
#> 4 1 BC1 __ SC4 __ bcells 1.13997646 -1.81370492 50
#> 5 1 BC1 __ SC5 __ bcells 6.92458926 5.26339160 50
#> 6 1 BC1 __ SC6 __ bcells -8.28486988 -4.65707551 50
#> 7 1 BC1 __ SC7 __ bcells -7.13642931 -6.02868980 50
#> 8 1 BC1 __ EC1 __ bcells -24.57970886 -9.61217548 50
#> 9 1 BC1 __ EC2 __ bcells -14.12189347 -12.91058016 50
#> 10 1 BC1 __ EP __ bcells -4.37129472 14.62754950 50
#> 11 1 BC1 __ BC2 __ bcells -7.10583144 -5.02830294 50
#> 12 1 BC1 __ BC3 __ bcells 1.88827295 -3.19797575 50
#> 13 1 BC1 __ TC_CD4 __ bcells -17.88982667 -4.48718396 50
#> 14 1 BC1 __ TC_CD8 __ bcells -6.91600512 -1.04530433 50
#> 15 1 BC1 __ MC1 __ bcells -21.11848451 -8.25057762 50
#> 16 1 BC1 __ MC2 __ bcells -13.70128934 -2.97572877 50
#> 17 1 BC1 __ MC3 __ bcells -8.44703838 -2.85566810 50
#> 18 1 BC1 __ GC __ bcells -27.56957741 -18.80714781 50
#> 19 1 BC1 __ Undefined __ bcells -4.64746577 -3.19472608 50
#> 20 1 BC2 __ SC1 __ bcells 1.82752333 5.85377833 50
#> 21 1 BC2 __ SC2 __ bcells 2.45879059 0.57434325 50
#> 22 1 BC2 __ SC3 __ bcells 1.35981727 -0.66632514 50
#> 23 1 BC2 __ SC4 __ bcells 1.05102750 -1.65106898 50
#> 24 1 BC2 __ SC5 __ bcells 0.43019776 -1.77528327 50
#> 25 1 BC2 __ SC6 __ bcells 3.64561767 10.36071570 50
#> 26 1 BC2 __ SC7 __ bcells 1.49766950 1.94770417 50
#> 27 1 BC2 __ EC1 __ bcells -0.23030303 28.66843383 50
#> 28 1 BC2 __ EC2 __ bcells 1.75410514 5.16500971 50
#> 29 1 BC2 __ EP __ bcells -3.76086815 14.46323277 50
#> 30 1 BC2 __ BC1 __ bcells -2.04831400 -6.49826983 50
#> 31 1 BC2 __ BC3 __ bcells 1.60313412 -3.92883273 50
#> 32 1 BC2 __ TC_CD4 __ bcells -7.69779151 12.91317577 50
#> 33 1 BC2 __ TC_CD8 __ bcells -8.81546771 3.67014067 50
#> 34 1 BC2 __ MC1 __ bcells -0.96692825 24.40344897 50
#> 35 1 BC2 __ MC2 __ bcells -2.44582126 12.86126562 50
#> 36 1 BC2 __ MC3 __ bcells -0.75965270 8.17839638 50
#> 37 1 BC2 __ GC __ bcells 4.47629354 22.94590620 50
#> 38 1 BC2 __ Undefined __ bcells 1.14403514 2.61505415 50
#> 39 1 BC3 __ SC1 __ bcells -5.52417571 -2.13734635 50
#> 40 1 BC3 __ SC2 __ bcells 1.85945873 1.64482319 50
#> 41 1 BC3 __ SC3 __ bcells 0.02880508 1.35570737 50
#> 42 1 BC3 __ SC4 __ bcells 4.20463336 1.97419729 50
#> 43 1 BC3 __ SC5 __ bcells 2.75502898 1.02838878 50
#> 44 1 BC3 __ SC6 __ bcells -8.22680811 -4.35737101 50
#> 45 1 BC3 __ SC7 __ bcells -1.79813273 -0.10569195 50
#> 46 1 BC3 __ EC1 __ bcells -28.64214448 -16.86792784 50
#> 47 1 BC3 __ EC2 __ bcells -3.83777070 -0.33471263 50
#> 48 1 BC3 __ EP __ bcells -25.64128965 -15.54988992 50
#> 49 1 BC3 __ BC1 __ bcells 1.34846170 -2.55275636 50
#> 50 1 BC3 __ BC2 __ bcells -4.54167856 -1.74152224 50
#> 51 1 BC3 __ TC_CD4 __ bcells -24.39707984 -14.52579806 50
#> 52 1 BC3 __ TC_CD8 __ bcells -14.12486672 -9.82024776 50
#> 53 1 BC3 __ MC1 __ bcells -27.03143937 -17.14645521 50
#> 54 1 BC3 __ MC2 __ bcells -23.28819363 -14.57633285 50
#> 55 1 BC3 __ MC3 __ bcells -12.61905344 -6.99561139 50
#> 56 1 BC3 __ GC __ bcells -15.48135109 -6.60555103 50
#> 57 1 BC3 __ Undefined __ bcells -2.55082643 -0.99511402 50
#> 58 1 EC1 __ SC1 __ endothelial 0.89249644 -8.21049644 50
#> 59 1 EC1 __ SC2 __ endothelial -12.82349442 -1.79222851 50
#> 60 1 EC1 __ SC3 __ endothelial -19.58186460 2.17910688 50
#> 61 1 EC1 __ SC4 __ endothelial -12.28477517 -13.93625878 50
#> 62 1 EC1 __ SC5 __ endothelial -16.47503365 -16.84608586 50
#> 63 1 EC1 __ SC6 __ endothelial 17.70862577 -0.80024435 50
#> 64 1 EC1 __ SC7 __ endothelial -8.49638174 -5.60949837 50
#> 65 1 EC1 __ EC2 __ endothelial 6.23326241 -3.46252764 50
#> 66 1 EC1 __ EP __ endothelial 17.11138888 2.21443596 50
#> 67 1 EC1 __ BC1 __ endothelial -18.62994472 -20.62538726 50
#> 68 1 EC1 __ BC2 __ endothelial 6.27218402 -6.19513455 50
#> 69 1 EC1 __ BC3 __ endothelial -22.78738985 -11.05122645 50
#> 70 1 EC1 __ TC_CD4 __ endothelial 32.25440906 10.81589094 50
#> 71 1 EC1 __ TC_CD8 __ endothelial 22.10419636 7.00592236 50
#> 72 1 EC1 __ MC1 __ endothelial 43.20593237 9.87187333 50
#> 73 1 EC1 __ MC2 __ endothelial 20.56735298 -0.94555344 50
#> 74 1 EC1 __ MC3 __ endothelial 11.29317679 -4.08508330 50
#> 75 1 EC1 __ GC __ endothelial 37.07819869 4.42500731 50
#> 76 1 EC1 __ Undefined __ endothelial -2.29358204 -5.21245332 50
#> 77 1 EC2 __ SC1 __ endothelial 1.40701867 -5.31845268 50
#> 78 1 EC2 __ SC2 __ endothelial 12.23284805 18.37710425 50
#> 79 1 EC2 __ SC3 __ endothelial 19.49022477 30.44259841 50
#> 80 1 EC2 __ SC4 __ endothelial 2.23712328 8.45822979 50
#> 81 1 EC2 __ SC5 __ endothelial -8.93238185 -3.03885013 50
#> 82 1 EC2 __ SC6 __ endothelial 3.37261304 -8.22769141 50
#> 83 1 EC2 __ SC7 __ endothelial 5.07087158 9.52966590 50
#> 84 1 EC2 __ EC1 __ endothelial -1.89968884 -28.99353217 50
#> 85 1 EC2 __ EP __ endothelial -11.38642364 -24.31311851 50
#> 86 1 EC2 __ BC1 __ endothelial -11.28472456 -1.73472791 50
#> 87 1 EC2 __ BC2 __ endothelial -0.11983026 -8.39324194 50
#> 88 1 EC2 __ BC3 __ endothelial 0.51175392 13.07977773 50
#> 89 1 EC2 __ TC_CD4 __ endothelial -6.62109281 -21.53590034 50
#> 90 1 EC2 __ TC_CD8 __ endothelial -7.76523730 -20.36006248 50
#> 91 1 EC2 __ MC1 __ endothelial -3.98117414 -27.81589823 50
#> 92 1 EC2 __ MC2 __ endothelial -3.70200295 -19.19210543 50
#> 93 1 EC2 __ MC3 __ endothelial -4.30573815 -15.34532752 50
#> 94 1 EC2 __ GC __ endothelial 10.83814189 -13.88624639 50
#> 95 1 EC2 __ Undefined __ endothelial -1.49881017 -1.71717030 50
#> 96 1 EP __ SC1 __ epithelial 4.80544654 1.30747705 50
#> 97 1 EP __ SC2 __ epithelial -20.03691469 -6.20532646 50
#> 98 1 EP __ SC3 __ epithelial -23.13108667 -9.58779892 50
#> 99 1 EP __ SC4 __ epithelial -16.44095890 -7.09725059 50
#> 100 1 EP __ SC5 __ epithelial -6.91236662 -0.54458276 50
#> 101 1 EP __ SC6 __ epithelial -6.05117363 0.23308250 50
#> 102 1 EP __ SC7 __ epithelial -12.33129347 -1.93393505 50
#> 103 1 EP __ EC1 __ epithelial 10.77228179 1.36920506 50
#> 104 1 EP __ EC2 __ epithelial -9.36165751 2.04007969 50
#> 105 1 EP __ BC1 __ epithelial 1.47910728 -4.47383729 50
#> 106 1 EP __ BC2 __ epithelial -3.14814650 -1.00001008 50
#> 107 1 EP __ BC3 __ epithelial -22.47619522 -11.53386804 50
#> 108 1 EP __ TC_CD4 __ epithelial 24.89104546 -1.13182073 50
#> 109 1 EP __ TC_CD8 __ epithelial 12.53938564 -6.61528366 50
#> 110 1 EP __ MC1 __ epithelial 14.62724794 2.37702017 50
#> 111 1 EP __ MC2 __ epithelial 17.33972059 3.70697299 50
#> 112 1 EP __ MC3 __ epithelial 2.71234158 1.78500088 50
#> 113 1 EP __ GC __ epithelial -11.50083291 3.70668460 50
#> 114 1 EP __ Undefined __ epithelial -6.70915260 -2.14155004 50
#> 115 1 BC1 __ SC1 __ immune 0.76301875 2.24784933 50
#> 116 1 BC1 __ SC2 __ immune -7.47059261 -6.42629499 50
#> 117 1 BC1 __ SC3 __ immune -9.37793451 -3.58368714 50
#> 118 1 BC1 __ SC4 __ immune 1.13997646 -0.23640936 50
#> 119 1 BC1 __ SC5 __ immune 6.92458926 5.34963911 50
#> 120 1 BC1 __ SC6 __ immune -8.28486988 -9.57825808 50
#> 121 1 BC1 __ SC7 __ immune -7.13642931 -6.80630021 50
#> 122 1 BC1 __ EC1 __ immune -24.57970886 -27.13905373 50
#> 123 1 BC1 __ EC2 __ immune -14.12189347 -13.79372020 50
#> 124 1 BC1 __ EP __ immune -4.37129472 -1.07339197 50
#> 125 1 BC1 __ BC2 __ immune -7.10583144 -8.93170309 50
#> 126 1 BC1 __ BC3 __ immune 1.88827295 0.15302397 50
#> 127 1 BC1 __ TC_CD4 __ immune -17.88982667 -18.01448774 50
#> 128 1 BC1 __ TC_CD8 __ immune -6.91600512 -14.60395554 50
#> 129 1 BC1 __ MC1 __ immune -21.11848451 -24.86941500 50
#> 130 1 BC1 __ MC2 __ immune -13.70128934 -17.08739252 50
#> 131 1 BC1 __ MC3 __ immune -8.44703838 -12.94582392 50
#> 132 1 BC1 __ GC __ immune -27.56957741 -31.02976607 50
#> 133 1 BC1 __ Undefined __ immune -4.64746577 -5.39447349 50
#> 134 1 BC2 __ SC1 __ immune 1.82752333 2.33311295 50
#> 135 1 BC2 __ SC2 __ immune 2.45879059 6.35360744 50
#> 136 1 BC2 __ SC3 __ immune 1.35981727 11.05776029 50
#> 137 1 BC2 __ SC4 __ immune 1.05102750 0.59277936 50
#> 138 1 BC2 __ SC5 __ immune 0.43019776 -1.67206586 50
#> 139 1 BC2 __ SC6 __ immune 3.64561767 2.03798393 50
#> 140 1 BC2 __ SC7 __ immune 1.49766950 3.27971031 50
#> 141 1 BC2 __ EC1 __ immune -0.23030303 -7.53946304 50
#> 142 1 BC2 __ EC2 __ immune 1.75410514 4.58157850 50
#> 143 1 BC2 __ EP __ immune -3.76086815 -4.06452353 50
#> 144 1 BC2 __ BC1 __ immune -2.04831400 -4.95253407 50
#> 145 1 BC2 __ BC3 __ immune 1.60313412 1.56540274 50
#> 146 1 BC2 __ TC_CD4 __ immune -7.69779151 -10.62569471 50
#> 147 1 BC2 __ TC_CD8 __ immune -8.81546771 -13.12728560 50
#> 148 1 BC2 __ MC1 __ immune -0.96692825 -9.88661868 50
#> 149 1 BC2 __ MC2 __ immune -2.44582126 -8.41085582 50
#> 150 1 BC2 __ MC3 __ immune -0.75965270 -6.57995631 50
#> 151 1 BC2 __ GC __ immune 4.47629354 -3.47009309 50
#> 152 1 BC2 __ Undefined __ immune 1.14403514 0.38066180 50
#> 153 1 BC3 __ SC1 __ immune -5.52417571 -4.50483867 50
#> 154 1 BC3 __ SC2 __ immune 1.85945873 5.15580021 50
#> 155 1 BC3 __ SC3 __ immune 0.02880508 9.35501008 50
#> 156 1 BC3 __ SC4 __ immune 4.20463336 3.86699301 50
#> 157 1 BC3 __ SC5 __ immune 2.75502898 0.82260998 50
#> 158 1 BC3 __ SC6 __ immune -8.22680811 -8.51574826 50
#> 159 1 BC3 __ SC7 __ immune -1.79813273 0.03541308 50
#> 160 1 BC3 __ EC1 __ immune -28.64214448 -30.35190083 50
#> 161 1 BC3 __ EC2 __ immune -3.83777070 -0.21094300 50
#> 162 1 BC3 __ EP __ immune -25.64128965 -25.86454720 50
#> 163 1 BC3 __ BC1 __ immune 1.34846170 -1.83738117 50
#> 164 1 BC3 __ BC2 __ immune -4.54167856 -4.81437040 50
#> 165 1 BC3 __ TC_CD4 __ immune -24.39707984 -25.05902103 50
#> 166 1 BC3 __ TC_CD8 __ immune -14.12486672 -21.46010220 50
#> 167 1 BC3 __ MC1 __ immune -27.03143937 -29.97295448 50
#> 168 1 BC3 __ MC2 __ immune -23.28819363 -25.46513441 50
#> 169 1 BC3 __ MC3 __ immune -12.61905344 -15.76394184 50
#> 170 1 BC3 __ GC __ immune -15.48135109 -18.87056329 50
#> 171 1 BC3 __ Undefined __ immune -2.55082643 -3.04611362 50
#> 172 1 GC __ SC1 __ immune 6.77064569 8.10396635 50
#> 173 1 GC __ SC2 __ immune 7.71296408 14.17697573 50
#> 174 1 GC __ SC3 __ immune -3.37866874 7.01696971 50
#> 175 1 GC __ SC4 __ immune 0.65056974 1.35095884 50
#> 176 1 GC __ SC5 __ immune -7.44767874 -10.17928190 50
#> 177 1 GC __ SC6 __ immune 27.16485488 24.96069249 50
#> 178 1 GC __ SC7 __ immune 4.31369133 7.00866823 50
#> 179 1 GC __ EC1 __ immune 37.33786035 28.49763558 50
#> 180 1 GC __ EC2 __ immune 21.28458048 26.31268392 50
#> 181 1 GC __ EP __ immune -7.94270959 -8.75869404 50
#> 182 1 GC __ BC1 __ immune -22.50909911 -24.24045168 50
#> 183 1 GC __ BC2 __ immune 11.61412993 10.03846711 50
#> 184 1 GC __ BC3 __ immune -5.15873215 -3.23356614 50
#> 185 1 GC __ TC_CD4 __ immune 11.85533933 8.90564443 50
#> 186 1 GC __ TC_CD8 __ immune -3.54011398 -8.49939131 50
#> 187 1 GC __ MC1 __ immune 36.00582772 23.55332502 50
#> 188 1 GC __ MC2 __ immune 24.37331770 16.94446964 50
#> 189 1 GC __ MC3 __ immune 10.24788540 3.53324147 50
#> 190 1 GC __ Undefined __ immune 1.48935520 1.13310430 50
#> 191 1 MC1 __ SC1 __ immune -0.61199088 -0.30939253 50
#> 192 1 MC1 __ SC2 __ immune -18.28782268 -16.05879366 50
#> 193 1 MC1 __ SC3 __ immune -28.72926602 -23.39441345 50
#> 194 1 MC1 __ SC4 __ immune -14.67938623 -15.42549075 50
#> 195 1 MC1 __ SC5 __ immune -11.57467584 -14.05332935 50
#> 196 1 MC1 __ SC6 __ immune 15.68790061 11.18139646 50
#> 197 1 MC1 __ SC7 __ immune -11.60115101 -11.46469955 50
#> 198 1 MC1 __ EC1 __ immune 41.79440306 33.15475932 50
#> 199 1 MC1 __ EC2 __ immune 3.13886652 3.06165965 50
#> 200 1 MC1 __ EP __ immune 19.86734006 25.04653231 50
#> 201 1 MC1 __ BC1 __ immune -14.42068978 -15.55791269 50
#> 202 1 MC1 __ BC2 __ immune 4.10866102 0.96976402 50
#> 203 1 MC1 __ BC3 __ immune -21.27660144 -21.18400320 50
#> 204 1 MC1 __ TC_CD4 __ immune 35.13097923 30.73280337 50
#> 205 1 MC1 __ TC_CD8 __ immune 55.86763193 43.43126925 50
#> 206 1 MC1 __ MC2 __ immune 19.85220805 11.82840541 50
#> 207 1 MC1 __ MC3 __ immune 12.40238288 5.47613220 50
#> 208 1 MC1 __ GC __ immune 34.63337191 23.30877291 50
#> 209 1 MC1 __ Undefined __ immune -4.80486453 -5.92047048 50
#> 210 1 MC2 __ SC1 __ immune 1.06151367 1.65403414 50
#> 211 1 MC2 __ SC2 __ immune -7.48618623 -4.61299061 50
#> 212 1 MC2 __ SC3 __ immune -13.44381602 -5.73651588 50
#> 213 1 MC2 __ SC4 __ immune -11.85858353 -12.71517346 50
#> 214 1 MC2 __ SC5 __ immune -2.67485404 -5.12145179 50
#> 215 1 MC2 __ SC6 __ immune 2.73453804 -0.64480572 50
#> 216 1 MC2 __ SC7 __ immune -4.62776308 -4.08911010 50
#> 217 1 MC2 __ EC1 __ immune 17.88674016 9.11451207 50
#> 218 1 MC2 __ EC2 __ immune 1.71471389 4.85219130 50
#> 219 1 MC2 __ EP __ immune 21.41779254 26.47010719 50
#> 220 1 MC2 __ BC1 __ immune -7.17227613 -9.06444397 50
#> 221 1 MC2 __ BC2 __ immune 0.83969087 -2.34449151 50
#> 222 1 MC2 __ BC3 __ immune -17.73344102 -18.35574415 50
#> 223 1 MC2 __ TC_CD4 __ immune 6.01881699 2.65769207 50
#> 224 1 MC2 __ TC_CD8 __ immune -8.87427180 -14.92007105 50
#> 225 1 MC2 __ MC1 __ immune 18.52188109 7.01701560 50
#> 226 1 MC2 __ MC3 __ immune 20.99553414 12.53759687 50
#> 227 1 MC2 __ GC __ immune 21.76010100 11.35650491 50
#> 228 1 MC2 __ Undefined __ immune -2.20803147 -3.43049828 50
#> 229 1 MC3 __ SC1 __ immune -1.88441669 -0.71140935 50
#> 230 1 MC3 __ SC2 __ immune -1.99867863 1.99095185 50
#> 231 1 MC3 __ SC3 __ immune -8.48351416 0.18990561 50
#> 232 1 MC3 __ SC4 __ immune -4.96962534 -5.31439937 50
#> 233 1 MC3 __ SC5 __ immune -2.84783030 -4.74219383 50
#> 234 1 MC3 __ SC6 __ immune -1.63585789 -3.83562345 50
#> 235 1 MC3 __ SC7 __ immune -1.99929187 -0.50210562 50
#> 236 1 MC3 __ EC1 __ immune 6.09348568 -1.01485473 50
#> 237 1 MC3 __ EC2 __ immune -1.43645202 1.16556550 50
#> 238 1 MC3 __ EP __ immune 2.98276254 5.62913101 50
#> 239 1 MC3 __ BC1 __ immune -2.72155692 -5.31823231 50
#> 240 1 MC3 __ BC2 __ immune 0.27681570 -1.89121652 50
#> 241 1 MC3 __ BC3 __ immune -6.72919978 -6.52601512 50
#> 242 1 MC3 __ TC_CD4 __ immune 6.16190963 3.70536315 50
#> 243 1 MC3 __ TC_CD8 __ immune 8.51663491 0.19401689 50
#> 244 1 MC3 __ MC1 __ immune 7.79631394 -1.05710461 50
#> 245 1 MC3 __ MC2 __ immune 17.59655567 10.18431649 50
#> 246 1 MC3 __ GC __ immune 4.99266512 -3.34365303 50
#> 247 1 MC3 __ Undefined __ immune -0.22732766 -0.69599133 50
#> 248 1 TC_CD4 __ SC1 __ immune -5.04625828 -4.87036888 50
#> 249 1 TC_CD4 __ SC2 __ immune -15.67442893 -15.45755675 50
#> 250 1 TC_CD4 __ SC3 __ immune -25.62331696 -23.33074997 50
#> 251 1 TC_CD4 __ SC4 __ immune -10.88705361 -11.86678936 50
#> 252 1 TC_CD4 __ SC5 __ immune -11.50459464 -13.47192842 50
#> 253 1 TC_CD4 __ SC6 __ immune 7.80160696 3.77406167 50
#> 254 1 TC_CD4 __ SC7 __ immune -11.34222531 -11.81513426 50
#> 255 1 TC_CD4 __ EC1 __ immune 28.16275891 18.70814834 50
#> 256 1 TC_CD4 __ EC2 __ immune -1.54297389 -0.55044605 50
#> 257 1 TC_CD4 __ EP __ immune 28.99880148 32.35760844 50
#> 258 1 TC_CD4 __ BC1 __ immune -11.54152065 -13.04363202 50
#> 259 1 TC_CD4 __ BC2 __ immune -4.51151169 -7.46525433 50
#> 260 1 TC_CD4 __ BC3 __ immune -18.22925554 -19.31205664 50
#> 261 1 TC_CD4 __ TC_CD8 __ immune 29.36567132 17.58980108 50
#> 262 1 TC_CD4 __ MC1 __ immune 32.16618047 19.56882097 50
#> 263 1 TC_CD4 __ MC2 __ immune 5.62490187 -0.98726972 50
#> 264 1 TC_CD4 __ MC3 __ immune 8.66623299 2.30613722 50
#> 265 1 TC_CD4 __ GC __ immune 9.71568692 1.15016121 50
#> 266 1 TC_CD4 __ Undefined __ immune -3.39947564 -5.21752129 50
#> 267 1 TC_CD8 __ SC1 __ immune -9.47822820 -7.40960441 50
#> 268 1 TC_CD8 __ SC2 __ immune -18.37087272 -17.51251376 50
#> 269 1 TC_CD8 __ SC3 __ immune -41.95090701 -41.39004326 50
#> 270 1 TC_CD8 __ SC4 __ immune -11.52492340 -13.80164727 50
#> 271 1 TC_CD8 __ SC5 __ immune -10.23247150 -11.45444054 50
#> 272 1 TC_CD8 __ SC6 __ immune -5.67895435 -7.26386384 50
#> 273 1 TC_CD8 __ SC7 __ immune -21.20017974 -20.88808371 50
#> 274 1 TC_CD8 __ EC1 __ immune 17.11748036 15.50957677 50
#> 275 1 TC_CD8 __ EC2 __ immune -4.08133697 0.26113117 50
#> 276 1 TC_CD8 __ EP __ immune 13.16438038 16.85815705 50
#> 277 1 TC_CD8 __ BC1 __ immune 0.58310032 -0.82456994 50
#> 278 1 TC_CD8 __ BC2 __ immune -7.44912884 -5.62999949 50
#> 279 1 TC_CD8 __ BC3 __ immune -7.48927069 -10.39408056 50
#> 280 1 TC_CD8 __ TC_CD4 __ immune 25.54401192 25.23435052 50
#> 281 1 TC_CD8 __ MC1 __ immune 47.93066557 39.51504009 50
#> 282 1 TC_CD8 __ MC2 __ immune -10.42877684 -11.97160143 50
#> 283 1 TC_CD8 __ MC3 __ immune 8.87556365 5.43239807 50
#> 284 1 TC_CD8 __ GC __ immune -6.89374537 -10.40569802 50
#> 285 1 TC_CD8 __ Undefined __ immune -2.28138533 -1.58818112 50
#> 286 1 MC1 __ SC1 __ myeloid -0.61199088 -2.33326693 50
#> 287 1 MC1 __ SC2 __ myeloid -18.28782268 -6.52414712 50
#> 288 1 MC1 __ SC3 __ myeloid -28.72926602 2.27512124 50
#> 289 1 MC1 __ SC4 __ myeloid -14.67938623 -13.90727140 50
#> 290 1 MC1 __ SC5 __ myeloid -11.57467584 -13.65221196 50
#> 291 1 MC1 __ SC6 __ myeloid 15.68790061 0.50235123 50
#> 292 1 MC1 __ SC7 __ myeloid -11.60115101 -9.12771556 50
#> 293 1 MC1 __ EC1 __ myeloid 41.79440306 13.01601530 50
#> 294 1 MC1 __ EC2 __ myeloid 3.13886652 -0.78780897 50
#> 295 1 MC1 __ EP __ myeloid 19.86734006 11.33445772 50
#> 296 1 MC1 __ BC1 __ myeloid -14.42068978 -12.35317248 50
#> 297 1 MC1 __ BC2 __ myeloid 4.10866102 -6.05771774 50
#> 298 1 MC1 __ BC3 __ myeloid -21.27660144 -9.32849749 50
#> 299 1 MC1 __ TC_CD4 __ myeloid 35.13097923 12.52669355 50
#> 300 1 MC1 __ TC_CD8 __ myeloid 55.86763193 21.08709385 50
#> 301 1 MC1 __ MC2 __ myeloid 19.85220805 -0.50621968 50
#> 302 1 MC1 __ MC3 __ myeloid 12.40238288 -6.43363315 50
#> 303 1 MC1 __ GC __ myeloid 34.63337191 9.06402337 50
#> 304 1 MC1 __ Undefined __ myeloid -4.80486453 -8.25646539 50
#> 305 1 MC2 __ SC1 __ myeloid 1.06151367 -1.10933323 50
#> 306 1 MC2 __ SC2 __ myeloid -7.48618623 9.44945296 50
#> 307 1 MC2 __ SC3 __ myeloid -13.44381602 21.67069747 50
#> 308 1 MC2 __ SC4 __ myeloid -11.85858353 -8.66376289 50
#> 309 1 MC2 __ SC5 __ myeloid -2.67485404 -7.35850933 50
#> 310 1 MC2 __ SC6 __ myeloid 2.73453804 -6.91194854 50
#> 311 1 MC2 __ SC7 __ myeloid -4.62776308 -1.54469303 50
#> 312 1 MC2 __ EC1 __ myeloid 17.88674016 -8.50733501 50
#> 313 1 MC2 __ EC2 __ myeloid 1.71471389 8.92242116 50
#> 314 1 MC2 __ EP __ myeloid 21.41779254 11.70098074 50
#> 315 1 MC2 __ BC1 __ myeloid -7.17227613 -9.29578661 50
#> 316 1 MC2 __ BC2 __ myeloid 0.83969087 -9.29986958 50
#> 317 1 MC2 __ BC3 __ myeloid -17.73344102 -10.49237710 50
#> 318 1 MC2 __ TC_CD4 __ myeloid 6.01881699 -10.33835630 50
#> 319 1 MC2 __ TC_CD8 __ myeloid -8.87427180 -25.26369028 50
#> 320 1 MC2 __ MC1 __ myeloid 18.52188109 -8.70402812 50
#> 321 1 MC2 __ MC3 __ myeloid 20.99553414 -1.18574859 50
#> 322 1 MC2 __ GC __ myeloid 21.76010100 -0.63277353 50
#> 323 1 MC2 __ Undefined __ myeloid -2.20803147 -5.97007909 50
#> 324 1 MC3 __ SC1 __ myeloid -1.88441669 -4.48163740 50
#> 325 1 MC3 __ SC2 __ myeloid -1.99867863 10.93802658 50
#> 326 1 MC3 __ SC3 __ myeloid -8.48351416 20.60117526 50
#> 327 1 MC3 __ SC4 __ myeloid -4.96962534 -2.62769747 50
#> 328 1 MC3 __ SC5 __ myeloid -2.84783030 -5.02545527 50
#> 329 1 MC3 __ SC6 __ myeloid -1.63585789 -11.60832994 50
#> 330 1 MC3 __ SC7 __ myeloid -1.99929187 0.02050034 50
#> 331 1 MC3 __ EC1 __ myeloid 6.09348568 -18.60514729 50
#> 332 1 MC3 __ EC2 __ myeloid -1.43645202 -0.53969066 50
#> 333 1 MC3 __ EP __ myeloid 2.98276254 -8.47057772 50
#> 334 1 MC3 __ BC1 __ myeloid -2.72155692 -4.77995731 50
#> 335 1 MC3 __ BC2 __ myeloid 0.27681570 -9.09120272 50
#> 336 1 MC3 __ BC3 __ myeloid -6.72919978 1.90159890 50
#> 337 1 MC3 __ TC_CD4 __ myeloid 6.16190963 -12.38979082 50
#> 338 1 MC3 __ TC_CD8 __ myeloid 8.51663491 -17.87928165 50
#> 339 1 MC3 __ MC1 __ myeloid 7.79631394 -19.39857978 50
#> 340 1 MC3 __ MC2 __ myeloid 17.59655567 -6.54449060 50
#> 341 1 MC3 __ GC __ myeloid 4.99266512 -17.83825055 50
#> 342 1 MC3 __ Undefined __ myeloid -0.22732766 -3.74312682 50
#> 343 1 TC_CD4 __ SC1 __ tcells -5.04625828 -2.09158018 50
#> 344 1 TC_CD4 __ SC2 __ tcells -15.67442893 9.70607525 50
#> 345 1 TC_CD4 __ SC3 __ tcells -25.62331696 16.20656281 50
#> 346 1 TC_CD4 __ SC4 __ tcells -10.88705361 4.33396989 50
#> 347 1 TC_CD4 __ SC5 __ tcells -11.50459464 -1.94470011 50
#> 348 1 TC_CD4 __ SC6 __ tcells 7.80160696 9.48627280 50
#> 349 1 TC_CD4 __ SC7 __ tcells -11.34222531 3.68269164 50
#> 350 1 TC_CD4 __ EC1 __ tcells 28.16275891 7.24811504 50
#> 351 1 TC_CD4 __ EC2 __ tcells -1.54297389 8.14632842 50
#> 352 1 TC_CD4 __ EP __ tcells 28.99880148 -6.32202380 50
#> 353 1 TC_CD4 __ BC1 __ tcells -11.54152065 -7.02521577 50
#> 354 1 TC_CD4 __ BC2 __ tcells -4.51151169 -9.48439522 50
#> 355 1 TC_CD4 __ BC3 __ tcells -18.22925554 2.62411322 50
#> 356 1 TC_CD4 __ TC_CD8 __ tcells 29.36567132 -19.56157487 50
#> 357 1 TC_CD4 __ MC1 __ tcells 32.16618047 0.81761053 50
#> 358 1 TC_CD4 __ MC2 __ tcells 5.62490187 -8.33419018 50
#> 359 1 TC_CD4 __ MC3 __ tcells 8.66623299 -2.84657643 50
#> 360 1 TC_CD4 __ GC __ tcells 9.71568692 19.33584125 50
#> 361 1 TC_CD4 __ Undefined __ tcells -3.39947564 -4.15448064 50
#> 362 1 TC_CD8 __ SC1 __ tcells -9.47822820 -12.85270588 50
#> 363 1 TC_CD8 __ SC2 __ tcells -18.37087272 -5.54935362 50
#> 364 1 TC_CD8 __ SC3 __ tcells -41.95090701 -41.75296799 50
#> 365 1 TC_CD8 __ SC4 __ tcells -11.52492340 2.50355589 50
#> 366 1 TC_CD8 __ SC5 __ tcells -10.23247150 -1.64376333 50
#> 367 1 TC_CD8 __ SC6 __ tcells -5.67895435 -2.51033817 50
#> 368 1 TC_CD8 __ SC7 __ tcells -21.20017974 -12.25258522 50
#> 369 1 TC_CD8 __ EC1 __ tcells 17.11748036 -8.69834962 50
#> 370 1 TC_CD8 __ EC2 __ tcells -4.08133697 -0.02245370 50
#> 371 1 TC_CD8 __ EP __ tcells 13.16438038 -20.40375242 50
#> 372 1 TC_CD8 __ BC1 __ tcells 0.58310032 12.11901502 50
#> 373 1 TC_CD8 __ BC2 __ tcells -7.44912884 -19.18086439 50
#> 374 1 TC_CD8 __ BC3 __ tcells -7.48927069 11.74641315 50
#> 375 1 TC_CD8 __ TC_CD4 __ tcells 25.54401192 -19.29338676 50
#> 376 1 TC_CD8 __ MC1 __ tcells 47.93066557 7.52460603 50
#> 377 1 TC_CD8 __ MC2 __ tcells -10.42877684 -18.20042804 50
#> 378 1 TC_CD8 __ MC3 __ tcells 8.87556365 -0.16387879 50
#> 379 1 TC_CD8 __ GC __ tcells -6.89374537 -11.45263817 50
#> 380 1 TC_CD8 __ Undefined __ tcells -2.28138533 -5.77125520 50
#> 381 1 EC1 __ SC1 __ tissue 0.89249644 -9.96570699 50
#> 382 1 EC1 __ SC2 __ tissue -12.82349442 17.00359922 50
#> 383 1 EC1 __ SC3 __ tissue -19.58186460 27.58729690 50
#> 384 1 EC1 __ SC4 __ tissue -12.28477517 -10.22482931 50
#> 385 1 EC1 __ SC5 __ tissue -16.47503365 -16.28448581 50
#> 386 1 EC1 __ SC6 __ tissue 17.70862577 2.35230526 50
#> 387 1 EC1 __ SC7 __ tissue -8.49638174 5.06179905 50
#> 388 1 EC1 __ EC2 __ tissue 6.23326241 2.86896260 50
#> 389 1 EC1 __ EP __ tissue 17.11138888 -6.71926549 50
#> 390 1 EC1 __ BC1 __ tissue -18.62994472 -25.25419681 50
#> 391 1 EC1 __ BC2 __ tissue 6.27218402 -3.52096313 50
#> 392 1 EC1 __ BC3 __ tissue -22.78738985 -3.55551498 50
#> 393 1 EC1 __ TC_CD4 __ tissue 32.25440906 0.98384322 50
#> 394 1 EC1 __ TC_CD8 __ tissue 22.10419636 -5.91490896 50
#> 395 1 EC1 __ MC1 __ tissue 43.20593237 12.00836915 50
#> 396 1 EC1 __ MC2 __ tissue 20.56735298 2.58188258 50
#> 397 1 EC1 __ MC3 __ tissue 11.29317679 -2.48477411 50
#> 398 1 EC1 __ GC __ tissue 37.07819869 21.15172040 50
#> 399 1 EC1 __ Undefined __ tissue -2.29358204 -1.61286598 50
#> 400 1 EC2 __ SC1 __ tissue 1.40701867 -2.71331156 50
#> 401 1 EC2 __ SC2 __ tissue 12.23284805 38.45577766 50
#> 402 1 EC2 __ SC3 __ tissue 19.49022477 57.38551565 50
#> 403 1 EC2 __ SC4 __ tissue 2.23712328 12.66029377 50
#> 404 1 EC2 __ SC5 __ tissue -8.93238185 -8.44432936 50
#> 405 1 EC2 __ SC6 __ tissue 3.37261304 0.75818649 50
#> 406 1 EC2 __ SC7 __ tissue 5.07087158 19.82866027 50
#> 407 1 EC2 __ EC1 __ tissue -1.89968884 -30.71976290 50
#> 408 1 EC2 __ EP __ tissue -11.38642364 -26.17023585 50
#> 409 1 EC2 __ BC1 __ tissue -11.28472456 -14.14992135 50
#> 410 1 EC2 __ BC2 __ tissue -0.11983026 -3.64786387 50
#> 411 1 EC2 __ BC3 __ tissue 0.51175392 19.71376540 50
#> 412 1 EC2 __ TC_CD4 __ tissue -6.62109281 -28.38563147 50
#> 413 1 EC2 __ TC_CD8 __ tissue -7.76523730 -30.17120819 50
#> 414 1 EC2 __ MC1 __ tissue -3.98117414 -29.38598249 50
#> 415 1 EC2 __ MC2 __ tissue -3.70200295 -20.64156099 50
#> 416 1 EC2 __ MC3 __ tissue -4.30573815 -11.62205548 50
#> 417 1 EC2 __ GC __ tissue 10.83814189 -1.43669702 50
#> 418 1 EC2 __ Undefined __ tissue -1.49881017 -0.77588563 50
#> 419 1 EP __ SC1 __ tissue 4.80544654 -0.21618741 50
#> 420 1 EP __ SC2 __ tissue -20.03691469 -12.03080688 50
#> 421 1 EP __ SC3 __ tissue -23.13108667 -13.20046438 50
#> 422 1 EP __ SC4 __ tissue -16.44095890 -10.74879530 50
#> 423 1 EP __ SC5 __ tissue -6.91236662 -4.11885583 50
#> 424 1 EP __ SC6 __ tissue -6.05117363 -6.55739995 50
#> 425 1 EP __ SC7 __ tissue -12.33129347 -7.09398342 50
#> 426 1 EP __ EC1 __ tissue 10.77228179 -5.34978927 50
#> 427 1 EP __ EC2 __ tissue -9.36165751 -5.19333713 50
#> 428 1 EP __ BC1 __ tissue 1.47910728 -0.38146656 50
#> 429 1 EP __ BC2 __ tissue -3.14814650 -3.61724071 50
#> 430 1 EP __ BC3 __ tissue -22.47619522 -14.61809040 50
#> 431 1 EP __ TC_CD4 __ tissue 24.89104546 2.55352655 50
#> 432 1 EP __ TC_CD8 __ tissue 12.53938564 -3.23709641 50
#> 433 1 EP __ MC1 __ tissue 14.62724794 -1.94618871 50
#> 434 1 EP __ MC2 __ tissue 17.33972059 3.30590895 50
#> 435 1 EP __ MC3 __ tissue 2.71234158 -1.63565385 50
#> 436 1 EP __ GC __ tissue -11.50083291 -12.48007765 50
#> 437 1 EP __ Undefined __ tissue -6.70915260 -4.14658796 50
#> 438 1 SC1 __ SC2 __ tumour 2.70262526 -5.24800623 50
#> 439 1 SC1 __ SC3 __ tumour 4.29462415 -7.25241009 50
#> 440 1 SC1 __ SC4 __ tumour -0.37487456 -4.18778970 50
#> 441 1 SC1 __ SC5 __ tumour 1.31892673 0.91437085 50
#> 442 1 SC1 __ SC6 __ tumour 2.77131159 2.98075912 50
#> 443 1 SC1 __ SC7 __ tumour 0.48775945 -3.26948627 50
#> 444 1 SC1 __ EC1 __ tumour -6.70104929 10.27271099 50
#> 445 1 SC1 __ EC2 __ tumour 1.09884717 -4.45463408 50
#> 446 1 SC1 __ EP __ tumour 1.83516605 23.59055820 50
#> 447 1 SC1 __ BC1 __ tumour 4.42292102 6.28354545 50
#> 448 1 SC1 __ BC2 __ tumour -0.34736291 2.15135302 50
#> 449 1 SC1 __ BC3 __ tumour -1.90098847 -5.97632198 50
#> 450 1 SC1 __ TC_CD4 __ tumour -9.95399619 6.76434027 50
#> 451 1 SC1 __ TC_CD8 __ tumour -12.80172217 7.58419694 50
#> 452 1 SC1 __ MC1 __ tumour -7.22108413 11.70426697 50
#> 453 1 SC1 __ MC2 __ tumour -4.18624401 6.44400293 50
#> 454 1 SC1 __ MC3 __ tumour -4.70561175 0.54103616 50
#> 455 1 SC1 __ GC __ tumour -1.85061235 4.70950310 50
#> 456 1 SC1 __ Undefined __ tumour -1.99823193 0.02108249 50
#> 457 1 SC2 __ SC1 __ tumour 1.42494300 0.80225303 50
#> 458 1 SC2 __ SC3 __ tumour 17.71757574 5.12258237 50
#> 459 1 SC2 __ SC4 __ tumour 3.88084540 -0.39441560 50
#> 460 1 SC2 __ SC5 __ tumour -3.96720015 -3.40227652 50
#> 461 1 SC2 __ SC6 __ tumour 0.68569733 -0.45543768 50
#> 462 1 SC2 __ SC7 __ tumour 5.81360773 1.24950695 50
#> 463 1 SC2 __ EC1 __ tumour -19.12018112 -8.05288149 50
#> 464 1 SC2 __ EC2 __ tumour 10.23975697 3.00946844 50
#> 465 1 SC2 __ EP __ tumour -22.13211207 -6.36138328 50
#> 466 1 SC2 __ BC1 __ tumour -5.47556298 -3.62391011 50
#> 467 1 SC2 __ BC2 __ tumour -0.95005316 -0.78787681 50
#> 468 1 SC2 __ BC3 __ tumour 4.92301993 1.03341825 50
#> 469 1 SC2 __ TC_CD4 __ tumour -20.04080322 -10.01356277 50
#> 470 1 SC2 __ TC_CD8 __ tumour -21.74763044 -8.63078638 50
#> 471 1 SC2 __ MC1 __ tumour -23.14220392 -9.77797918 50
#> 472 1 SC2 __ MC2 __ tumour -12.84873370 -5.97149591 50
#> 473 1 SC2 __ MC3 __ tumour -6.09707744 -1.11417648 50
#> 474 1 SC2 __ GC __ tumour -2.55174244 -0.36098446 50
#> 475 1 SC2 __ Undefined __ tumour -0.75497814 1.28770389 50
#> 476 1 SC3 __ SC1 __ tumour 3.15421549 2.98413613 50
#> 477 1 SC3 __ SC2 __ tumour 17.90669858 9.96954978 50
#> 478 1 SC3 __ SC4 __ tumour 0.55124105 -3.10038397 50
#> 479 1 SC3 __ SC5 __ tumour -8.31569395 -7.64539534 50
#> 480 1 SC3 __ SC6 __ tumour 2.00868011 1.69150174 50
#> 481 1 SC3 __ SC7 __ tumour 9.39342226 4.98916643 50
#> 482 1 SC3 __ EC1 __ tumour -24.76666123 -20.30025243 50
#> 483 1 SC3 __ EC2 __ tumour 17.53342174 10.78493513 50
#> 484 1 SC3 __ EP __ tumour -25.16753453 -12.77013844 50
#> 485 1 SC3 __ BC1 __ tumour -7.47358905 -5.38044687 50
#> 486 1 SC3 __ BC2 __ tumour -1.88133010 -1.47484918 50
#> 487 1 SC3 __ BC3 __ tumour 3.14060508 -0.07097307 50
#> 488 1 SC3 __ TC_CD4 __ tumour -28.85903337 -22.74116698 50
#> 489 1 SC3 __ TC_CD8 __ tumour -42.78532350 -38.19751021 50
#> 490 1 SC3 __ MC1 __ tumour -31.85487571 -26.59383253 50
#> 491 1 SC3 __ MC2 __ tumour -17.93960428 -13.04987658 50
#> 492 1 SC3 __ MC3 __ tumour -11.91038661 -9.21426528 50
#> 493 1 SC3 __ GC __ tumour -11.50234210 -9.35740168 50
#> 494 1 SC3 __ Undefined __ tumour -2.26375172 -0.92175261 50
#> 495 1 SC4 __ SC1 __ tumour -3.43841056 -2.89599605 50
#> 496 1 SC4 __ SC2 __ tumour 1.69957671 -4.77984641 50
#> 497 1 SC4 __ SC3 __ tumour -1.32544788 -10.42121658 50
#> 498 1 SC4 __ SC5 __ tumour 4.51383443 3.77323899 50
#> 499 1 SC4 __ SC6 __ tumour -5.16257671 -4.74482554 50
#> 500 1 SC4 __ SC7 __ tumour -2.46974506 -5.19771580 50
#> 501 1 SC4 __ EC1 __ tumour -19.79240556 -7.75902392 50
#> 502 1 SC4 __ EC2 __ tumour -1.45834502 -5.60791671 50
#> 503 1 SC4 __ EP __ tumour -20.11711763 -6.25639461 50
#> 504 1 SC4 __ BC1 __ tumour 1.34839568 2.54668934 50
#> 505 1 SC4 __ BC2 __ tumour -4.28221688 -2.45853584 50
#> 506 1 SC4 __ BC3 __ tumour 4.93981578 1.27945466 50
#> 507 1 SC4 __ TC_CD4 __ tumour -17.74011534 -4.40261121 50
#> 508 1 SC4 __ TC_CD8 __ tumour -16.68261112 -2.51118005 50
#> 509 1 SC4 __ MC1 __ tumour -21.34937488 -7.79153148 50
#> 510 1 SC4 __ MC2 __ tumour -18.23238122 -9.49204348 50
#> 511 1 SC4 __ MC3 __ tumour -10.27632124 -5.24046558 50
#> 512 1 SC4 __ GC __ tumour -10.19655796 -4.40736435 50
#> 513 1 SC4 __ Undefined __ tumour -4.08904946 -1.67930965 50
#> 514 1 SC5 __ SC1 __ tumour -2.29631456 -1.41889566 50
#> 515 1 SC5 __ SC2 __ tumour -6.24626977 -10.63903391 50
#> 516 1 SC5 __ SC3 __ tumour -10.38099146 -17.29394686 50
#> 517 1 SC5 __ SC4 __ tumour 4.09319045 0.01432657 50
#> 518 1 SC5 __ SC6 __ tumour -8.54692328 -7.77560923 50
#> 519 1 SC5 __ SC7 __ tumour -5.13161756 -6.67050987 50
#> 520 1 SC5 __ EC1 __ tumour -23.12433564 -12.87233306 50
#> 521 1 SC5 __ EC2 __ tumour -12.21776939 -14.29230461 50
#> 522 1 SC5 __ EP __ tumour -11.73692210 4.42623852 50
#> 523 1 SC5 __ BC1 __ tumour 6.64012292 7.02279487 50
#> 524 1 SC5 __ BC2 __ tumour -5.22638995 -3.28880799 50
#> 525 1 SC5 __ BC3 __ tumour 2.98228474 -0.46181230 50
#> 526 1 SC5 __ TC_CD4 __ tumour -18.33222559 -6.75456891 50
#> 527 1 SC5 __ TC_CD8 __ tumour -16.17948826 -2.70105755 50
#> 528 1 SC5 __ MC1 __ tumour -18.81051293 -5.68759627 50
#> 529 1 SC5 __ MC2 __ tumour -10.33166332 -0.51775424 50
#> 530 1 SC5 __ MC3 __ tumour -8.65533289 -2.92517469 50
#> 531 1 SC5 __ GC __ tumour -16.16298238 -9.49132136 50
#> 532 1 SC5 __ Undefined __ tumour -4.32296483 -1.79567475 50
#> 533 1 SC6 __ SC1 __ tumour 6.00999551 5.71853546 50
#> 534 1 SC6 __ SC2 __ tumour 5.18232774 -4.08227662 50
#> 535 1 SC6 __ SC3 __ tumour 6.53384694 -5.79062074 50
#> 536 1 SC6 __ SC4 __ tumour 0.96059463 -3.68199185 50
#> 537 1 SC6 __ SC5 __ tumour -2.35478614 -3.49910962 50
#> 538 1 SC6 __ SC7 __ tumour 5.22418304 0.01346516 50
#> 539 1 SC6 __ EC1 __ tumour 11.00984799 37.25518686 50
#> 540 1 SC6 __ EC2 __ tumour 6.23210291 0.74301637 50
#> 541 1 SC6 __ EP __ tumour -6.18035567 14.79005854 50
#> 542 1 SC6 __ BC1 __ tumour -2.27026239 -1.97032973 50
#> 543 1 SC6 __ BC2 __ tumour 4.66935271 6.34034613 50
#> 544 1 SC6 __ BC3 __ tumour -1.53176986 -7.06225502 50
#> 545 1 SC6 __ TC_CD4 __ tumour 4.93122368 32.37139082 50
#> 546 1 SC6 __ TC_CD8 __ tumour -7.11759809 14.97776834 50
#> 547 1 SC6 __ MC1 __ tumour 10.14211680 39.95144154 50
#> 548 1 SC6 __ MC2 __ tumour -0.29926389 12.35075729 50
#> 549 1 SC6 __ MC3 __ tumour -1.92409747 5.78073971 50
#> 550 1 SC6 __ GC __ tumour 19.14291979 28.61781957 50
#> 551 1 SC6 __ Undefined __ tumour -0.51077532 0.96766790 50
#> 552 1 SC7 __ SC1 __ tumour 0.82026448 0.41024275 50
#> 553 1 SC7 __ SC2 __ tumour 7.55491137 -1.35211911 50
#> 554 1 SC7 __ SC3 __ tumour 11.04658693 -2.05230671 50
#> 555 1 SC7 __ SC4 __ tumour 0.90724982 -3.14470640 50
#> 556 1 SC7 __ SC5 __ tumour -1.40468434 -1.13303511 50
#> 557 1 SC7 __ SC6 __ tumour 2.24589480 1.29483287 50
#> 558 1 SC7 __ EC1 __ tumour -14.40582242 -1.00102642 50
#> 559 1 SC7 __ EC2 __ tumour 4.96726133 -2.01797287 50
#> 560 1 SC7 __ EP __ tumour -13.99256016 3.81255541 50
#> 561 1 SC7 __ BC1 __ tumour -3.78037946 -1.78010867 50
#> 562 1 SC7 __ BC2 __ tumour -0.28388005 0.82743389 50
#> 563 1 SC7 __ BC3 __ tumour 2.58845126 -1.24811380 50
#> 564 1 SC7 __ TC_CD4 __ tumour -15.53187685 -2.32834041 50
#> 565 1 SC7 __ TC_CD8 __ tumour -23.40164997 -10.50225092 50
#> 566 1 SC7 __ MC1 __ tumour -16.42572805 -0.96610895 50
#> 567 1 SC7 __ MC2 __ tumour -9.08760291 0.18139636 50
#> 568 1 SC7 __ MC3 __ tumour -4.61365500 1.21569810 50
#> 569 1 SC7 __ GC __ tumour -3.72628680 1.04248826 50
#> 570 1 SC7 __ Undefined __ tumour 0.68060043 2.82581557 50
#> weightQuantile inhom edge includeZeroCells window window.length
#> 1 0.8 TRUE FALSE TRUE convex NA
#> 2 0.8 TRUE FALSE TRUE convex NA
#> 3 0.8 TRUE FALSE TRUE convex NA
#> 4 0.8 TRUE FALSE TRUE convex NA
#> 5 0.8 TRUE FALSE TRUE convex NA
#> 6 0.8 TRUE FALSE TRUE convex NA
#> 7 0.8 TRUE FALSE TRUE convex NA
#> 8 0.8 TRUE FALSE TRUE convex NA
#> 9 0.8 TRUE FALSE TRUE convex NA
#> 10 0.8 TRUE FALSE TRUE convex NA
#> 11 0.8 TRUE FALSE TRUE convex NA
#> 12 0.8 TRUE FALSE TRUE convex NA
#> 13 0.8 TRUE FALSE TRUE convex NA
#> 14 0.8 TRUE FALSE TRUE convex NA
#> 15 0.8 TRUE FALSE TRUE convex NA
#> 16 0.8 TRUE FALSE TRUE convex NA
#> 17 0.8 TRUE FALSE TRUE convex NA
#> 18 0.8 TRUE FALSE TRUE convex NA
#> 19 0.8 TRUE FALSE TRUE convex NA
#> 20 0.8 TRUE FALSE TRUE convex NA
#> 21 0.8 TRUE FALSE TRUE convex NA
#> 22 0.8 TRUE FALSE TRUE convex NA
#> 23 0.8 TRUE FALSE TRUE convex NA
#> 24 0.8 TRUE FALSE TRUE convex NA
#> 25 0.8 TRUE FALSE TRUE convex NA
#> 26 0.8 TRUE FALSE TRUE convex NA
#> 27 0.8 TRUE FALSE TRUE convex NA
#> 28 0.8 TRUE FALSE TRUE convex NA
#> 29 0.8 TRUE FALSE TRUE convex NA
#> 30 0.8 TRUE FALSE TRUE convex NA
#> 31 0.8 TRUE FALSE TRUE convex NA
#> 32 0.8 TRUE FALSE TRUE convex NA
#> 33 0.8 TRUE FALSE TRUE convex NA
#> 34 0.8 TRUE FALSE TRUE convex NA
#> 35 0.8 TRUE FALSE TRUE convex NA
#> 36 0.8 TRUE FALSE TRUE convex NA
#> 37 0.8 TRUE FALSE TRUE convex NA
#> 38 0.8 TRUE FALSE TRUE convex NA
#> 39 0.8 TRUE FALSE TRUE convex NA
#> 40 0.8 TRUE FALSE TRUE convex NA
#> 41 0.8 TRUE FALSE TRUE convex NA
#> 42 0.8 TRUE FALSE TRUE convex NA
#> 43 0.8 TRUE FALSE TRUE convex NA
#> 44 0.8 TRUE FALSE TRUE convex NA
#> 45 0.8 TRUE FALSE TRUE convex NA
#> 46 0.8 TRUE FALSE TRUE convex NA
#> 47 0.8 TRUE FALSE TRUE convex NA
#> 48 0.8 TRUE FALSE TRUE convex NA
#> 49 0.8 TRUE FALSE TRUE convex NA
#> 50 0.8 TRUE FALSE TRUE convex NA
#> 51 0.8 TRUE FALSE TRUE convex NA
#> 52 0.8 TRUE FALSE TRUE convex NA
#> 53 0.8 TRUE FALSE TRUE convex NA
#> 54 0.8 TRUE FALSE TRUE convex NA
#> 55 0.8 TRUE FALSE TRUE convex NA
#> 56 0.8 TRUE FALSE TRUE convex NA
#> 57 0.8 TRUE FALSE TRUE convex NA
#> 58 0.8 TRUE FALSE TRUE convex NA
#> 59 0.8 TRUE FALSE TRUE convex NA
#> 60 0.8 TRUE FALSE TRUE convex NA
#> 61 0.8 TRUE FALSE TRUE convex NA
#> 62 0.8 TRUE FALSE TRUE convex NA
#> 63 0.8 TRUE FALSE TRUE convex NA
#> 64 0.8 TRUE FALSE TRUE convex NA
#> 65 0.8 TRUE FALSE TRUE convex NA
#> 66 0.8 TRUE FALSE TRUE convex NA
#> 67 0.8 TRUE FALSE TRUE convex NA
#> 68 0.8 TRUE FALSE TRUE convex NA
#> 69 0.8 TRUE FALSE TRUE convex NA
#> 70 0.8 TRUE FALSE TRUE convex NA
#> 71 0.8 TRUE FALSE TRUE convex NA
#> 72 0.8 TRUE FALSE TRUE convex NA
#> 73 0.8 TRUE FALSE TRUE convex NA
#> 74 0.8 TRUE FALSE TRUE convex NA
#> 75 0.8 TRUE FALSE TRUE convex NA
#> 76 0.8 TRUE FALSE TRUE convex NA
#> 77 0.8 TRUE FALSE TRUE convex NA
#> 78 0.8 TRUE FALSE TRUE convex NA
#> 79 0.8 TRUE FALSE TRUE convex NA
#> 80 0.8 TRUE FALSE TRUE convex NA
#> 81 0.8 TRUE FALSE TRUE convex NA
#> 82 0.8 TRUE FALSE TRUE convex NA
#> 83 0.8 TRUE FALSE TRUE convex NA
#> 84 0.8 TRUE FALSE TRUE convex NA
#> 85 0.8 TRUE FALSE TRUE convex NA
#> 86 0.8 TRUE FALSE TRUE convex NA
#> 87 0.8 TRUE FALSE TRUE convex NA
#> 88 0.8 TRUE FALSE TRUE convex NA
#> 89 0.8 TRUE FALSE TRUE convex NA
#> 90 0.8 TRUE FALSE TRUE convex NA
#> 91 0.8 TRUE FALSE TRUE convex NA
#> 92 0.8 TRUE FALSE TRUE convex NA
#> 93 0.8 TRUE FALSE TRUE convex NA
#> 94 0.8 TRUE FALSE TRUE convex NA
#> 95 0.8 TRUE FALSE TRUE convex NA
#> 96 0.8 TRUE FALSE TRUE convex NA
#> 97 0.8 TRUE FALSE TRUE convex NA
#> 98 0.8 TRUE FALSE TRUE convex NA
#> 99 0.8 TRUE FALSE TRUE convex NA
#> 100 0.8 TRUE FALSE TRUE convex NA
#> 101 0.8 TRUE FALSE TRUE convex NA
#> 102 0.8 TRUE FALSE TRUE convex NA
#> 103 0.8 TRUE FALSE TRUE convex NA
#> 104 0.8 TRUE FALSE TRUE convex NA
#> 105 0.8 TRUE FALSE TRUE convex NA
#> 106 0.8 TRUE FALSE TRUE convex NA
#> 107 0.8 TRUE FALSE TRUE convex NA
#> 108 0.8 TRUE FALSE TRUE convex NA
#> 109 0.8 TRUE FALSE TRUE convex NA
#> 110 0.8 TRUE FALSE TRUE convex NA
#> 111 0.8 TRUE FALSE TRUE convex NA
#> 112 0.8 TRUE FALSE TRUE convex NA
#> 113 0.8 TRUE FALSE TRUE convex NA
#> 114 0.8 TRUE FALSE TRUE convex NA
#> 115 0.8 TRUE FALSE TRUE convex NA
#> 116 0.8 TRUE FALSE TRUE convex NA
#> 117 0.8 TRUE FALSE TRUE convex NA
#> 118 0.8 TRUE FALSE TRUE convex NA
#> 119 0.8 TRUE FALSE TRUE convex NA
#> 120 0.8 TRUE FALSE TRUE convex NA
#> 121 0.8 TRUE FALSE TRUE convex NA
#> 122 0.8 TRUE FALSE TRUE convex NA
#> 123 0.8 TRUE FALSE TRUE convex NA
#> 124 0.8 TRUE FALSE TRUE convex NA
#> 125 0.8 TRUE FALSE TRUE convex NA
#> 126 0.8 TRUE FALSE TRUE convex NA
#> 127 0.8 TRUE FALSE TRUE convex NA
#> 128 0.8 TRUE FALSE TRUE convex NA
#> 129 0.8 TRUE FALSE TRUE convex NA
#> 130 0.8 TRUE FALSE TRUE convex NA
#> 131 0.8 TRUE FALSE TRUE convex NA
#> 132 0.8 TRUE FALSE TRUE convex NA
#> 133 0.8 TRUE FALSE TRUE convex NA
#> 134 0.8 TRUE FALSE TRUE convex NA
#> 135 0.8 TRUE FALSE TRUE convex NA
#> 136 0.8 TRUE FALSE TRUE convex NA
#> 137 0.8 TRUE FALSE TRUE convex NA
#> 138 0.8 TRUE FALSE TRUE convex NA
#> 139 0.8 TRUE FALSE TRUE convex NA
#> 140 0.8 TRUE FALSE TRUE convex NA
#> 141 0.8 TRUE FALSE TRUE convex NA
#> 142 0.8 TRUE FALSE TRUE convex NA
#> 143 0.8 TRUE FALSE TRUE convex NA
#> 144 0.8 TRUE FALSE TRUE convex NA
#> 145 0.8 TRUE FALSE TRUE convex NA
#> 146 0.8 TRUE FALSE TRUE convex NA
#> 147 0.8 TRUE FALSE TRUE convex NA
#> 148 0.8 TRUE FALSE TRUE convex NA
#> 149 0.8 TRUE FALSE TRUE convex NA
#> 150 0.8 TRUE FALSE TRUE convex NA
#> 151 0.8 TRUE FALSE TRUE convex NA
#> 152 0.8 TRUE FALSE TRUE convex NA
#> 153 0.8 TRUE FALSE TRUE convex NA
#> 154 0.8 TRUE FALSE TRUE convex NA
#> 155 0.8 TRUE FALSE TRUE convex NA
#> 156 0.8 TRUE FALSE TRUE convex NA
#> 157 0.8 TRUE FALSE TRUE convex NA
#> 158 0.8 TRUE FALSE TRUE convex NA
#> 159 0.8 TRUE FALSE TRUE convex NA
#> 160 0.8 TRUE FALSE TRUE convex NA
#> 161 0.8 TRUE FALSE TRUE convex NA
#> 162 0.8 TRUE FALSE TRUE convex NA
#> 163 0.8 TRUE FALSE TRUE convex NA
#> 164 0.8 TRUE FALSE TRUE convex NA
#> 165 0.8 TRUE FALSE TRUE convex NA
#> 166 0.8 TRUE FALSE TRUE convex NA
#> 167 0.8 TRUE FALSE TRUE convex NA
#> 168 0.8 TRUE FALSE TRUE convex NA
#> 169 0.8 TRUE FALSE TRUE convex NA
#> 170 0.8 TRUE FALSE TRUE convex NA
#> 171 0.8 TRUE FALSE TRUE convex NA
#> 172 0.8 TRUE FALSE TRUE convex NA
#> 173 0.8 TRUE FALSE TRUE convex NA
#> 174 0.8 TRUE FALSE TRUE convex NA
#> 175 0.8 TRUE FALSE TRUE convex NA
#> 176 0.8 TRUE FALSE TRUE convex NA
#> 177 0.8 TRUE FALSE TRUE convex NA
#> 178 0.8 TRUE FALSE TRUE convex NA
#> 179 0.8 TRUE FALSE TRUE convex NA
#> 180 0.8 TRUE FALSE TRUE convex NA
#> 181 0.8 TRUE FALSE TRUE convex NA
#> 182 0.8 TRUE FALSE TRUE convex NA
#> 183 0.8 TRUE FALSE TRUE convex NA
#> 184 0.8 TRUE FALSE TRUE convex NA
#> 185 0.8 TRUE FALSE TRUE convex NA
#> 186 0.8 TRUE FALSE TRUE convex NA
#> 187 0.8 TRUE FALSE TRUE convex NA
#> 188 0.8 TRUE FALSE TRUE convex NA
#> 189 0.8 TRUE FALSE TRUE convex NA
#> 190 0.8 TRUE FALSE TRUE convex NA
#> 191 0.8 TRUE FALSE TRUE convex NA
#> 192 0.8 TRUE FALSE TRUE convex NA
#> 193 0.8 TRUE FALSE TRUE convex NA
#> 194 0.8 TRUE FALSE TRUE convex NA
#> 195 0.8 TRUE FALSE TRUE convex NA
#> 196 0.8 TRUE FALSE TRUE convex NA
#> 197 0.8 TRUE FALSE TRUE convex NA
#> 198 0.8 TRUE FALSE TRUE convex NA
#> 199 0.8 TRUE FALSE TRUE convex NA
#> 200 0.8 TRUE FALSE TRUE convex NA
#> 201 0.8 TRUE FALSE TRUE convex NA
#> 202 0.8 TRUE FALSE TRUE convex NA
#> 203 0.8 TRUE FALSE TRUE convex NA
#> 204 0.8 TRUE FALSE TRUE convex NA
#> 205 0.8 TRUE FALSE TRUE convex NA
#> 206 0.8 TRUE FALSE TRUE convex NA
#> 207 0.8 TRUE FALSE TRUE convex NA
#> 208 0.8 TRUE FALSE TRUE convex NA
#> 209 0.8 TRUE FALSE TRUE convex NA
#> 210 0.8 TRUE FALSE TRUE convex NA
#> 211 0.8 TRUE FALSE TRUE convex NA
#> 212 0.8 TRUE FALSE TRUE convex NA
#> 213 0.8 TRUE FALSE TRUE convex NA
#> 214 0.8 TRUE FALSE TRUE convex NA
#> 215 0.8 TRUE FALSE TRUE convex NA
#> 216 0.8 TRUE FALSE TRUE convex NA
#> 217 0.8 TRUE FALSE TRUE convex NA
#> 218 0.8 TRUE FALSE TRUE convex NA
#> 219 0.8 TRUE FALSE TRUE convex NA
#> 220 0.8 TRUE FALSE TRUE convex NA
#> 221 0.8 TRUE FALSE TRUE convex NA
#> 222 0.8 TRUE FALSE TRUE convex NA
#> 223 0.8 TRUE FALSE TRUE convex NA
#> 224 0.8 TRUE FALSE TRUE convex NA
#> 225 0.8 TRUE FALSE TRUE convex NA
#> 226 0.8 TRUE FALSE TRUE convex NA
#> 227 0.8 TRUE FALSE TRUE convex NA
#> 228 0.8 TRUE FALSE TRUE convex NA
#> 229 0.8 TRUE FALSE TRUE convex NA
#> 230 0.8 TRUE FALSE TRUE convex NA
#> 231 0.8 TRUE FALSE TRUE convex NA
#> 232 0.8 TRUE FALSE TRUE convex NA
#> 233 0.8 TRUE FALSE TRUE convex NA
#> 234 0.8 TRUE FALSE TRUE convex NA
#> 235 0.8 TRUE FALSE TRUE convex NA
#> 236 0.8 TRUE FALSE TRUE convex NA
#> 237 0.8 TRUE FALSE TRUE convex NA
#> 238 0.8 TRUE FALSE TRUE convex NA
#> 239 0.8 TRUE FALSE TRUE convex NA
#> 240 0.8 TRUE FALSE TRUE convex NA
#> 241 0.8 TRUE FALSE TRUE convex NA
#> 242 0.8 TRUE FALSE TRUE convex NA
#> 243 0.8 TRUE FALSE TRUE convex NA
#> 244 0.8 TRUE FALSE TRUE convex NA
#> 245 0.8 TRUE FALSE TRUE convex NA
#> 246 0.8 TRUE FALSE TRUE convex NA
#> 247 0.8 TRUE FALSE TRUE convex NA
#> 248 0.8 TRUE FALSE TRUE convex NA
#> 249 0.8 TRUE FALSE TRUE convex NA
#> 250 0.8 TRUE FALSE TRUE convex NA
#> 251 0.8 TRUE FALSE TRUE convex NA
#> 252 0.8 TRUE FALSE TRUE convex NA
#> 253 0.8 TRUE FALSE TRUE convex NA
#> 254 0.8 TRUE FALSE TRUE convex NA
#> 255 0.8 TRUE FALSE TRUE convex NA
#> 256 0.8 TRUE FALSE TRUE convex NA
#> 257 0.8 TRUE FALSE TRUE convex NA
#> 258 0.8 TRUE FALSE TRUE convex NA
#> 259 0.8 TRUE FALSE TRUE convex NA
#> 260 0.8 TRUE FALSE TRUE convex NA
#> 261 0.8 TRUE FALSE TRUE convex NA
#> 262 0.8 TRUE FALSE TRUE convex NA
#> 263 0.8 TRUE FALSE TRUE convex NA
#> 264 0.8 TRUE FALSE TRUE convex NA
#> 265 0.8 TRUE FALSE TRUE convex NA
#> 266 0.8 TRUE FALSE TRUE convex NA
#> 267 0.8 TRUE FALSE TRUE convex NA
#> 268 0.8 TRUE FALSE TRUE convex NA
#> 269 0.8 TRUE FALSE TRUE convex NA
#> 270 0.8 TRUE FALSE TRUE convex NA
#> 271 0.8 TRUE FALSE TRUE convex NA
#> 272 0.8 TRUE FALSE TRUE convex NA
#> 273 0.8 TRUE FALSE TRUE convex NA
#> 274 0.8 TRUE FALSE TRUE convex NA
#> 275 0.8 TRUE FALSE TRUE convex NA
#> 276 0.8 TRUE FALSE TRUE convex NA
#> 277 0.8 TRUE FALSE TRUE convex NA
#> 278 0.8 TRUE FALSE TRUE convex NA
#> 279 0.8 TRUE FALSE TRUE convex NA
#> 280 0.8 TRUE FALSE TRUE convex NA
#> 281 0.8 TRUE FALSE TRUE convex NA
#> 282 0.8 TRUE FALSE TRUE convex NA
#> 283 0.8 TRUE FALSE TRUE convex NA
#> 284 0.8 TRUE FALSE TRUE convex NA
#> 285 0.8 TRUE FALSE TRUE convex NA
#> 286 0.8 TRUE FALSE TRUE convex NA
#> 287 0.8 TRUE FALSE TRUE convex NA
#> 288 0.8 TRUE FALSE TRUE convex NA
#> 289 0.8 TRUE FALSE TRUE convex NA
#> 290 0.8 TRUE FALSE TRUE convex NA
#> 291 0.8 TRUE FALSE TRUE convex NA
#> 292 0.8 TRUE FALSE TRUE convex NA
#> 293 0.8 TRUE FALSE TRUE convex NA
#> 294 0.8 TRUE FALSE TRUE convex NA
#> 295 0.8 TRUE FALSE TRUE convex NA
#> 296 0.8 TRUE FALSE TRUE convex NA
#> 297 0.8 TRUE FALSE TRUE convex NA
#> 298 0.8 TRUE FALSE TRUE convex NA
#> 299 0.8 TRUE FALSE TRUE convex NA
#> 300 0.8 TRUE FALSE TRUE convex NA
#> 301 0.8 TRUE FALSE TRUE convex NA
#> 302 0.8 TRUE FALSE TRUE convex NA
#> 303 0.8 TRUE FALSE TRUE convex NA
#> 304 0.8 TRUE FALSE TRUE convex NA
#> 305 0.8 TRUE FALSE TRUE convex NA
#> 306 0.8 TRUE FALSE TRUE convex NA
#> 307 0.8 TRUE FALSE TRUE convex NA
#> 308 0.8 TRUE FALSE TRUE convex NA
#> 309 0.8 TRUE FALSE TRUE convex NA
#> 310 0.8 TRUE FALSE TRUE convex NA
#> 311 0.8 TRUE FALSE TRUE convex NA
#> 312 0.8 TRUE FALSE TRUE convex NA
#> 313 0.8 TRUE FALSE TRUE convex NA
#> 314 0.8 TRUE FALSE TRUE convex NA
#> 315 0.8 TRUE FALSE TRUE convex NA
#> 316 0.8 TRUE FALSE TRUE convex NA
#> 317 0.8 TRUE FALSE TRUE convex NA
#> 318 0.8 TRUE FALSE TRUE convex NA
#> 319 0.8 TRUE FALSE TRUE convex NA
#> 320 0.8 TRUE FALSE TRUE convex NA
#> 321 0.8 TRUE FALSE TRUE convex NA
#> 322 0.8 TRUE FALSE TRUE convex NA
#> 323 0.8 TRUE FALSE TRUE convex NA
#> 324 0.8 TRUE FALSE TRUE convex NA
#> 325 0.8 TRUE FALSE TRUE convex NA
#> 326 0.8 TRUE FALSE TRUE convex NA
#> 327 0.8 TRUE FALSE TRUE convex NA
#> 328 0.8 TRUE FALSE TRUE convex NA
#> 329 0.8 TRUE FALSE TRUE convex NA
#> 330 0.8 TRUE FALSE TRUE convex NA
#> 331 0.8 TRUE FALSE TRUE convex NA
#> 332 0.8 TRUE FALSE TRUE convex NA
#> 333 0.8 TRUE FALSE TRUE convex NA
#> 334 0.8 TRUE FALSE TRUE convex NA
#> 335 0.8 TRUE FALSE TRUE convex NA
#> 336 0.8 TRUE FALSE TRUE convex NA
#> 337 0.8 TRUE FALSE TRUE convex NA
#> 338 0.8 TRUE FALSE TRUE convex NA
#> 339 0.8 TRUE FALSE TRUE convex NA
#> 340 0.8 TRUE FALSE TRUE convex NA
#> 341 0.8 TRUE FALSE TRUE convex NA
#> 342 0.8 TRUE FALSE TRUE convex NA
#> 343 0.8 TRUE FALSE TRUE convex NA
#> 344 0.8 TRUE FALSE TRUE convex NA
#> 345 0.8 TRUE FALSE TRUE convex NA
#> 346 0.8 TRUE FALSE TRUE convex NA
#> 347 0.8 TRUE FALSE TRUE convex NA
#> 348 0.8 TRUE FALSE TRUE convex NA
#> 349 0.8 TRUE FALSE TRUE convex NA
#> 350 0.8 TRUE FALSE TRUE convex NA
#> 351 0.8 TRUE FALSE TRUE convex NA
#> 352 0.8 TRUE FALSE TRUE convex NA
#> 353 0.8 TRUE FALSE TRUE convex NA
#> 354 0.8 TRUE FALSE TRUE convex NA
#> 355 0.8 TRUE FALSE TRUE convex NA
#> 356 0.8 TRUE FALSE TRUE convex NA
#> 357 0.8 TRUE FALSE TRUE convex NA
#> 358 0.8 TRUE FALSE TRUE convex NA
#> 359 0.8 TRUE FALSE TRUE convex NA
#> 360 0.8 TRUE FALSE TRUE convex NA
#> 361 0.8 TRUE FALSE TRUE convex NA
#> 362 0.8 TRUE FALSE TRUE convex NA
#> 363 0.8 TRUE FALSE TRUE convex NA
#> 364 0.8 TRUE FALSE TRUE convex NA
#> 365 0.8 TRUE FALSE TRUE convex NA
#> 366 0.8 TRUE FALSE TRUE convex NA
#> 367 0.8 TRUE FALSE TRUE convex NA
#> 368 0.8 TRUE FALSE TRUE convex NA
#> 369 0.8 TRUE FALSE TRUE convex NA
#> 370 0.8 TRUE FALSE TRUE convex NA
#> 371 0.8 TRUE FALSE TRUE convex NA
#> 372 0.8 TRUE FALSE TRUE convex NA
#> 373 0.8 TRUE FALSE TRUE convex NA
#> 374 0.8 TRUE FALSE TRUE convex NA
#> 375 0.8 TRUE FALSE TRUE convex NA
#> 376 0.8 TRUE FALSE TRUE convex NA
#> 377 0.8 TRUE FALSE TRUE convex NA
#> 378 0.8 TRUE FALSE TRUE convex NA
#> 379 0.8 TRUE FALSE TRUE convex NA
#> 380 0.8 TRUE FALSE TRUE convex NA
#> 381 0.8 TRUE FALSE TRUE convex NA
#> 382 0.8 TRUE FALSE TRUE convex NA
#> 383 0.8 TRUE FALSE TRUE convex NA
#> 384 0.8 TRUE FALSE TRUE convex NA
#> 385 0.8 TRUE FALSE TRUE convex NA
#> 386 0.8 TRUE FALSE TRUE convex NA
#> 387 0.8 TRUE FALSE TRUE convex NA
#> 388 0.8 TRUE FALSE TRUE convex NA
#> 389 0.8 TRUE FALSE TRUE convex NA
#> 390 0.8 TRUE FALSE TRUE convex NA
#> 391 0.8 TRUE FALSE TRUE convex NA
#> 392 0.8 TRUE FALSE TRUE convex NA
#> 393 0.8 TRUE FALSE TRUE convex NA
#> 394 0.8 TRUE FALSE TRUE convex NA
#> 395 0.8 TRUE FALSE TRUE convex NA
#> 396 0.8 TRUE FALSE TRUE convex NA
#> 397 0.8 TRUE FALSE TRUE convex NA
#> 398 0.8 TRUE FALSE TRUE convex NA
#> 399 0.8 TRUE FALSE TRUE convex NA
#> 400 0.8 TRUE FALSE TRUE convex NA
#> 401 0.8 TRUE FALSE TRUE convex NA
#> 402 0.8 TRUE FALSE TRUE convex NA
#> 403 0.8 TRUE FALSE TRUE convex NA
#> 404 0.8 TRUE FALSE TRUE convex NA
#> 405 0.8 TRUE FALSE TRUE convex NA
#> 406 0.8 TRUE FALSE TRUE convex NA
#> 407 0.8 TRUE FALSE TRUE convex NA
#> 408 0.8 TRUE FALSE TRUE convex NA
#> 409 0.8 TRUE FALSE TRUE convex NA
#> 410 0.8 TRUE FALSE TRUE convex NA
#> 411 0.8 TRUE FALSE TRUE convex NA
#> 412 0.8 TRUE FALSE TRUE convex NA
#> 413 0.8 TRUE FALSE TRUE convex NA
#> 414 0.8 TRUE FALSE TRUE convex NA
#> 415 0.8 TRUE FALSE TRUE convex NA
#> 416 0.8 TRUE FALSE TRUE convex NA
#> 417 0.8 TRUE FALSE TRUE convex NA
#> 418 0.8 TRUE FALSE TRUE convex NA
#> 419 0.8 TRUE FALSE TRUE convex NA
#> 420 0.8 TRUE FALSE TRUE convex NA
#> 421 0.8 TRUE FALSE TRUE convex NA
#> 422 0.8 TRUE FALSE TRUE convex NA
#> 423 0.8 TRUE FALSE TRUE convex NA
#> 424 0.8 TRUE FALSE TRUE convex NA
#> 425 0.8 TRUE FALSE TRUE convex NA
#> 426 0.8 TRUE FALSE TRUE convex NA
#> 427 0.8 TRUE FALSE TRUE convex NA
#> 428 0.8 TRUE FALSE TRUE convex NA
#> 429 0.8 TRUE FALSE TRUE convex NA
#> 430 0.8 TRUE FALSE TRUE convex NA
#> 431 0.8 TRUE FALSE TRUE convex NA
#> 432 0.8 TRUE FALSE TRUE convex NA
#> 433 0.8 TRUE FALSE TRUE convex NA
#> 434 0.8 TRUE FALSE TRUE convex NA
#> 435 0.8 TRUE FALSE TRUE convex NA
#> 436 0.8 TRUE FALSE TRUE convex NA
#> 437 0.8 TRUE FALSE TRUE convex NA
#> 438 0.8 TRUE FALSE TRUE convex NA
#> 439 0.8 TRUE FALSE TRUE convex NA
#> 440 0.8 TRUE FALSE TRUE convex NA
#> 441 0.8 TRUE FALSE TRUE convex NA
#> 442 0.8 TRUE FALSE TRUE convex NA
#> 443 0.8 TRUE FALSE TRUE convex NA
#> 444 0.8 TRUE FALSE TRUE convex NA
#> 445 0.8 TRUE FALSE TRUE convex NA
#> 446 0.8 TRUE FALSE TRUE convex NA
#> 447 0.8 TRUE FALSE TRUE convex NA
#> 448 0.8 TRUE FALSE TRUE convex NA
#> 449 0.8 TRUE FALSE TRUE convex NA
#> 450 0.8 TRUE FALSE TRUE convex NA
#> 451 0.8 TRUE FALSE TRUE convex NA
#> 452 0.8 TRUE FALSE TRUE convex NA
#> 453 0.8 TRUE FALSE TRUE convex NA
#> 454 0.8 TRUE FALSE TRUE convex NA
#> 455 0.8 TRUE FALSE TRUE convex NA
#> 456 0.8 TRUE FALSE TRUE convex NA
#> 457 0.8 TRUE FALSE TRUE convex NA
#> 458 0.8 TRUE FALSE TRUE convex NA
#> 459 0.8 TRUE FALSE TRUE convex NA
#> 460 0.8 TRUE FALSE TRUE convex NA
#> 461 0.8 TRUE FALSE TRUE convex NA
#> 462 0.8 TRUE FALSE TRUE convex NA
#> 463 0.8 TRUE FALSE TRUE convex NA
#> 464 0.8 TRUE FALSE TRUE convex NA
#> 465 0.8 TRUE FALSE TRUE convex NA
#> 466 0.8 TRUE FALSE TRUE convex NA
#> 467 0.8 TRUE FALSE TRUE convex NA
#> 468 0.8 TRUE FALSE TRUE convex NA
#> 469 0.8 TRUE FALSE TRUE convex NA
#> 470 0.8 TRUE FALSE TRUE convex NA
#> 471 0.8 TRUE FALSE TRUE convex NA
#> 472 0.8 TRUE FALSE TRUE convex NA
#> 473 0.8 TRUE FALSE TRUE convex NA
#> 474 0.8 TRUE FALSE TRUE convex NA
#> 475 0.8 TRUE FALSE TRUE convex NA
#> 476 0.8 TRUE FALSE TRUE convex NA
#> 477 0.8 TRUE FALSE TRUE convex NA
#> 478 0.8 TRUE FALSE TRUE convex NA
#> 479 0.8 TRUE FALSE TRUE convex NA
#> 480 0.8 TRUE FALSE TRUE convex NA
#> 481 0.8 TRUE FALSE TRUE convex NA
#> 482 0.8 TRUE FALSE TRUE convex NA
#> 483 0.8 TRUE FALSE TRUE convex NA
#> 484 0.8 TRUE FALSE TRUE convex NA
#> 485 0.8 TRUE FALSE TRUE convex NA
#> 486 0.8 TRUE FALSE TRUE convex NA
#> 487 0.8 TRUE FALSE TRUE convex NA
#> 488 0.8 TRUE FALSE TRUE convex NA
#> 489 0.8 TRUE FALSE TRUE convex NA
#> 490 0.8 TRUE FALSE TRUE convex NA
#> 491 0.8 TRUE FALSE TRUE convex NA
#> 492 0.8 TRUE FALSE TRUE convex NA
#> 493 0.8 TRUE FALSE TRUE convex NA
#> 494 0.8 TRUE FALSE TRUE convex NA
#> 495 0.8 TRUE FALSE TRUE convex NA
#> 496 0.8 TRUE FALSE TRUE convex NA
#> 497 0.8 TRUE FALSE TRUE convex NA
#> 498 0.8 TRUE FALSE TRUE convex NA
#> 499 0.8 TRUE FALSE TRUE convex NA
#> 500 0.8 TRUE FALSE TRUE convex NA
#> 501 0.8 TRUE FALSE TRUE convex NA
#> 502 0.8 TRUE FALSE TRUE convex NA
#> 503 0.8 TRUE FALSE TRUE convex NA
#> 504 0.8 TRUE FALSE TRUE convex NA
#> 505 0.8 TRUE FALSE TRUE convex NA
#> 506 0.8 TRUE FALSE TRUE convex NA
#> 507 0.8 TRUE FALSE TRUE convex NA
#> 508 0.8 TRUE FALSE TRUE convex NA
#> 509 0.8 TRUE FALSE TRUE convex NA
#> 510 0.8 TRUE FALSE TRUE convex NA
#> 511 0.8 TRUE FALSE TRUE convex NA
#> 512 0.8 TRUE FALSE TRUE convex NA
#> 513 0.8 TRUE FALSE TRUE convex NA
#> 514 0.8 TRUE FALSE TRUE convex NA
#> 515 0.8 TRUE FALSE TRUE convex NA
#> 516 0.8 TRUE FALSE TRUE convex NA
#> 517 0.8 TRUE FALSE TRUE convex NA
#> 518 0.8 TRUE FALSE TRUE convex NA
#> 519 0.8 TRUE FALSE TRUE convex NA
#> 520 0.8 TRUE FALSE TRUE convex NA
#> 521 0.8 TRUE FALSE TRUE convex NA
#> 522 0.8 TRUE FALSE TRUE convex NA
#> 523 0.8 TRUE FALSE TRUE convex NA
#> 524 0.8 TRUE FALSE TRUE convex NA
#> 525 0.8 TRUE FALSE TRUE convex NA
#> 526 0.8 TRUE FALSE TRUE convex NA
#> 527 0.8 TRUE FALSE TRUE convex NA
#> 528 0.8 TRUE FALSE TRUE convex NA
#> 529 0.8 TRUE FALSE TRUE convex NA
#> 530 0.8 TRUE FALSE TRUE convex NA
#> 531 0.8 TRUE FALSE TRUE convex NA
#> 532 0.8 TRUE FALSE TRUE convex NA
#> 533 0.8 TRUE FALSE TRUE convex NA
#> 534 0.8 TRUE FALSE TRUE convex NA
#> 535 0.8 TRUE FALSE TRUE convex NA
#> 536 0.8 TRUE FALSE TRUE convex NA
#> 537 0.8 TRUE FALSE TRUE convex NA
#> 538 0.8 TRUE FALSE TRUE convex NA
#> 539 0.8 TRUE FALSE TRUE convex NA
#> 540 0.8 TRUE FALSE TRUE convex NA
#> 541 0.8 TRUE FALSE TRUE convex NA
#> 542 0.8 TRUE FALSE TRUE convex NA
#> 543 0.8 TRUE FALSE TRUE convex NA
#> 544 0.8 TRUE FALSE TRUE convex NA
#> 545 0.8 TRUE FALSE TRUE convex NA
#> 546 0.8 TRUE FALSE TRUE convex NA
#> 547 0.8 TRUE FALSE TRUE convex NA
#> 548 0.8 TRUE FALSE TRUE convex NA
#> 549 0.8 TRUE FALSE TRUE convex NA
#> 550 0.8 TRUE FALSE TRUE convex NA
#> 551 0.8 TRUE FALSE TRUE convex NA
#> 552 0.8 TRUE FALSE TRUE convex NA
#> 553 0.8 TRUE FALSE TRUE convex NA
#> 554 0.8 TRUE FALSE TRUE convex NA
#> 555 0.8 TRUE FALSE TRUE convex NA
#> 556 0.8 TRUE FALSE TRUE convex NA
#> 557 0.8 TRUE FALSE TRUE convex NA
#> 558 0.8 TRUE FALSE TRUE convex NA
#> 559 0.8 TRUE FALSE TRUE convex NA
#> 560 0.8 TRUE FALSE TRUE convex NA
#> 561 0.8 TRUE FALSE TRUE convex NA
#> 562 0.8 TRUE FALSE TRUE convex NA
#> 563 0.8 TRUE FALSE TRUE convex NA
#> 564 0.8 TRUE FALSE TRUE convex NA
#> 565 0.8 TRUE FALSE TRUE convex NA
#> 566 0.8 TRUE FALSE TRUE convex NA
#> 567 0.8 TRUE FALSE TRUE convex NA
#> 568 0.8 TRUE FALSE TRUE convex NA
#> 569 0.8 TRUE FALSE TRUE convex NA
#> 570 0.8 TRUE FALSE TRUE convex NA5 Simulation and RsCurve
Here we use simulationCompartment to create an image where the relationship between 2 cell types depends on a \(3^{rd}\) cell population. In the image below we see that tumour_cells and cd8_t_cells appear dispersed, however when this relationship is placed in context of the large dispersion between tumour_cells and all the other t_cells, now tumour_cells and cd8_t_cells appear localised.
set.seed(10)
#simulating images
simulation = simulateCompartment(includeTissue = FALSE)
#selecting image where a significant conditional relationship exists
conditionalImage = simulation$sig
#plotting image
ggplot(conditionalImage, aes(x = x, y = y, col = cellType)) +
geom_point()
The rsCurve function plots the L-function value and Konditional values over a range of radii. If the points lie above the red line (expected pattern) then localisation is indicated for that radius, if the points lie below the red line then dispersion is indicated. As seen in the following plot Konditional is able to correctly identify localisation between tumour_cells and cd8_t_cells in the simulated image for a certain range of radii. When the radius gets too large the overall relationship tumour_cells and cd8_t_cells looks dispersed. The original L-function is not able to identify localisation at any value of radii.
rsDf = rsCurve(
conditionalImage,
from = "cd8_t_cells",
to = "tumour_cells",
parent = c("cd8_t_cells", "t_cells"),
rs = seq(0.01, 0.15, 0.01),
cores = 40
)
ggplotRs(rsDf)6 Session Info
sessionInfo()
#> R version 4.2.1 (2022-06-23)
#> Platform: x86_64-pc-linux-gnu (64-bit)
#> Running under: Debian GNU/Linux 11 (bullseye)
#>
#> Matrix products: default
#> BLAS: /usr/lib/x86_64-linux-gnu/openblas-pthread/libblas.so.3
#> LAPACK: /usr/lib/x86_64-linux-gnu/openblas-pthread/libopenblasp-r0.3.13.so
#>
#> locale:
#> [1] LC_CTYPE=C.UTF-8 LC_NUMERIC=C LC_TIME=C.UTF-8
#> [4] LC_COLLATE=C LC_MONETARY=C.UTF-8 LC_MESSAGES=C.UTF-8
#> [7] LC_PAPER=C.UTF-8 LC_NAME=C LC_ADDRESS=C
#> [10] LC_TELEPHONE=C LC_MEASUREMENT=C.UTF-8 LC_IDENTIFICATION=C
#>
#> attached base packages:
#> [1] stats graphics grDevices utils datasets methods base
#>
#> other attached packages:
#> [1] plotly_4.10.0 lubridate_1.8.0 forcats_0.5.2
#> [4] stringr_1.4.1 dplyr_1.0.9 purrr_0.3.4
#> [7] readr_2.1.2 tidyr_1.2.1 tibble_3.1.8
#> [10] ggplot2_3.3.6 tidyverse_1.3.2.9000 BiocStyle_2.24.0
#> [13] Statial_0.0.1
#>
#> loaded via a namespace (and not attached):
#> [1] utf8_1.2.2 R.utils_2.12.0
#> [3] tidyselect_1.1.2 lme4_1.1-30
#> [5] htmlwidgets_1.5.4 ranger_0.14.1
#> [7] grid_4.2.1 BiocParallel_1.30.3
#> [9] devtools_2.4.4 DropletUtils_1.16.0
#> [11] munsell_0.5.0 codetools_0.2-18
#> [13] miniUI_0.1.1.1 withr_2.5.0
#> [15] spatstat.random_2.2-0 colorspace_2.0-3
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#> [19] highr_0.9 knitr_1.40
#> [21] rstudioapi_0.14 stats4_4.2.1
#> [23] SingleCellExperiment_1.18.0 robustbase_0.95-0
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#> [33] pheatmap_1.0.12 rhdf5_2.40.0
#> [35] rprojroot_2.0.3 TH.data_1.1-1
#> [37] coda_0.19-4 vctrs_0.4.1
#> [39] generics_0.1.3 xfun_0.31
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#> [113] minqa_1.2.4 R.oo_1.25.0
#> [115] htmltools_0.5.3 tzdb_0.3.0
#> [117] mgcv_1.8-40 later_1.3.0
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#> [129] GenomicRanges_1.48.0 pkgconfig_2.0.3
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#> [157] jsonlite_1.8.2 Rhdf5lib_1.18.2
#> [159] desc_1.4.2 viridisLite_0.4.1
#> [161] limma_3.50.3 fansi_1.0.3
#> [163] pillar_1.8.1 spatstat.linnet_2.3-2
#> [165] lattice_0.20-45 DEoptimR_1.0-11
#> [167] survival_3.4-0 fastmap_1.1.0
#> [169] httr_1.4.4 pkgbuild_1.3.1
#> [171] glue_1.6.2 remotes_2.4.2
#> [173] bayestestR_0.13.0 spatstat_2.3-4
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#> [179] class_7.3-20 stringi_1.7.8
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#> [183] memoise_2.0.1